个人简介
Takao Komatsu（小松 尚夫），博士，教授。毕业于澳大利亚Macquarie大学，师从著名数论学家A.J.Van der Poorten，历任日本三重大学，弘前大学教授，2015年入选湖北省“百人计划”。在《Math.Comp.(AMS)》，《Math.Proc.Cambridge Philos.Soc.》，《Bull.Soc.Math.France》，《Japan.J.Math.》，《Journal of Number Theory》，《Acta Arithmetica》，《Acta Math.Hungar.》,《Indag.Math.》,《Monatsh.Math.》等国际知名学术期刊发表了接近160篇文章。他在连分数，丢番图逼近以及数论中的特殊函数方面做出了一系列成绩。
Publications
1. Extension of Baker's analogue of Littlewood's diophantine approximation problem, Kodai Math. J. 14 (1991), 335--340.
2. On the characteristic word of the inhomogeneous Beatty sequence, Bull. Austral. Math. Soc. 51 (1995), 337--351.
3. The fractional part of nθ+φ and Beatty sequences, J. Theorie des Nombres de Bordeaux 7 (1995), 387--406.
4. A certain power series and the inhomogeneous continued fraction expansions, J. Number Theory 59 (1996), 291--312.
5. A certain power series associated with a Beatty sequence, Acta Arith. 76 (1996), 109--129.
6. (with A. J. van der Poorten)Substitution invariant Beatty sequences, Japan. J. Math. 22 (1996), 349--354.
7. The sum of consecutive fractional parts, Tsukuba J. Math. 21 (1997), 129--137.
8. On inhomogeneous continued fraction expansion and inhomogeneous Diophantine approximation, J. Number Theory 62 (1997), 192--212.
9. On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm, Acta Arith. 86 (1998), 305--324.
10. Substitution invariant inhomogeneous Beatty sequences,Tokyo J. Math. 22 (1999),235--243 .
11. On inhomogeneous Diophantine approximation and the NST algorithm, Developments in Math. 2(1999),241--251 = 'Number Theory and its Applications', ed. by K. Gyory and S. Kanemitsu, Kluwer Academic.
12. On inhomogeneous Diophantine approximation with some quasi-periodic expressions, Acta Math. Hung. 85 (1999), 311--330.
13. On inhomogeneous Diophantine approximation with some quasi-periodic expressions II, J. Theorie des Nombres de Bordeaux 11 (1999), 331--344.
14. Continued fractions and Newton's approximations, Math. Communications 4 (1999), 167--176.
15. On palindromic sequences from irrational numbers, Fibonacci Quart. 39 (2001), 66--74.
16. Continued fractions and Newton's approximations II, Fibonacci Quart. 39 (2001), 336--338.
17. (with M. Beck and I. M. Gessel) The polynomial part of a restricted partition function related to the Frobenius problem, Electronic. J. Combinatorics 8 (No.1) (2001), #N7.
18. An approximation property of quadratic irrationals, Bull. Soc. Math. France 135 (2002), 35--48.
19. On inhomogeneous Diophantine approximation and the Borweins' algorithm II, Developments in Math. 6 (2002), 223--242 = 'Analytic Number Theory', ed. by C. Jia and K. Matsumoto, Kluwer Academic.
20. The interval associated with a Fibonacci number, Fibonacci Quart. 41 (2003), 3 - 6.
21.On Tasoev's continued fractions, Math. Proc. Cambridge Philos. Soc. 134 (2003), 1 - 12.
22. On Hurwitzian and Tasoev's continued fractions, Acta Arith. 107 (2003), 161 - 177.
23. Simple continued fraction expansions of some values of certain hypergeometric functions, Tsukuba J. Math. 27 (2003), 161 - 173.
24. On the number of solutions of the Diophantine equation of Frobenius--General case, Math. Communications 8 (2003), 195- 206.
25. Recurrence relations of the leaping convergents, JP J. Algebra Number Theory Appl. 3 (2003), 447 - 459.
26. On inhomogeneous Diophantine approximation and the Borweins' algorithm, Far East J. Math. Sci. (FJMS) 12 (2004), 203 - 224.
27. Arithmetic properties of the leaping convergents of e^(1/s), Tokyo J. Math. 27 (2004), 1--12.
28. Tasoev's continued fractions and Rogers-Ramanujan continued fractions, J. Number Theory , 109 (2004), 27 - 40.
29. Rational approximations to Tasoev continued fractions, Math. Pannon. 15 (2004), 199--207.
30. On a Zaremba's conjecture for powers, Sarajevo J. Math. 1(13) (2005) , 9--13. OEIS
31. Rational approximations to Tasoev continued fractions,II, Liet. Mat. Rink. 45 (2005), 84--94.
32. Hurwitz and Tasoev continued fractions, Monatsh. Math. 145 (2005), 47--60.
33. An algorithm of infinite sums representations and Tasoev continued fractions, Math. Comp. 74 (2005), 2081--2094.
34. Some recognizable forms of simple continued fractions, International J. Math. Sci. 4 (2005), 47--63.
35. Hurwitz and Tasoev continued fractions with long period, Math. Pannon. 17 (2006), 91--110.
36. Some recognizable forms of simple continued fractions,II, Rev. Roum. Math. Pures Appl.(RRMPA) 51 (2006), 219--238.
37. Continued fraction of e2 with confluent hypergeometric functions, Liet. Mat. Rink. 46 (2006), 513--531.
38. A proof of the continued fraction expansion of e^(2/s), INTEGERS 7 (2007), #A30 (8 pages).
39. Some combinatorial properties of the leaping convergents, Combinatorial Number Theory , Proceedings of the Integers Conference 2005 in Celebration of the 70th Birthday of Ronald Graham, Carrollton, Georgia, USA, October 27--30,2005, eds. by B. M. Landman, M. B. Nathanson, J. Nesetril, R. J. Nowakowski and C. Pomerance, Walter de Gruyter, 2007, pp.315--325. = INTEGERS 7 (2) (2007), #A21 (10 pages).
40. Hurwitz continued fractions with confluent hypergeometric functions, Czech. Math. J. 57 (2007), 919--932.
41. (with C. Elsner and I. Shiokawa) Approximation of values of hyperbolic functions by restricted rationals, J. Theorie des Nombres de Bordeaux 19 (2007), 393--404.
42. (with C. Elsner) A recurrence formula for leaping convergents of non-regular continued fractions, Linear Algebra Appl. 428 (2008), 824--833.
43. Heron's square root approximations, JP J. Algebra Number Theory Appl. 10 (2008), 81 - 88.
44. Tasoev continued fractions with long period, Far East J. Math. Sci. (FJMS) 28 (2008), 89 - 121.
45. (with C. Elsner) On the residue classes of integer sequences satisfying a linear three-term recurrence formula, Linear Algebra Appl. 429 (2008), 933--947.
46. More on Hurwitz and Tasoev continued fractions, Sarajevo J. Math. 4 (2008), 155--180.
47. Shrinking the period length of quasi-periodic continued fractions, J. Number Theory 129 (2009), 358 - 366.
48. A Diophantine approximation of e^(1/s) in terms of integrals, Tokyo J. Math. 32 (2009), 159--176.
49. Diophantine approximations of tanh, tan, and linear forms of e in terms of integrals, Rev. Roum. Math. Pures Appl.(RRMPA) 54 (2009), 223--242.
50. (with C. Elsner and I. Shiokawa) On convergents formed from Diophantine equations, Glasnik Mat. 44 (2009), 267--284.
51. On continued fraction expansions of Fibonacci and Lucas Dirichlet series, Fibonacci Quart. 46/47 (2008/2009), 268 -- 278.
52. (wtih C. K. Caldwell) Some periodicities in the continued fraction expansions of Fibonacci and Lucas Dirichlet series, Fibonacci Quart. 48 (2010), 47 -- 55.
53. (with T. Chaichana and V. Laohakosol) Liouville numbers in non-Archimedean situation, Publ. Math. Debrecen 77 (2010) 39--63.
54. Some combinatorial properties of the leaping convergents,II, Applications of Fibonacci Numbers, (Proceedings of the 12th International Conference on Fibonacci Numbers and their Applications), Congr. Numer. 200 (2010) , 187--196.
55. (with V. Laohakosol) On the sum of reciprocal numbers satisfying a recurrence relation of order s, J. Integer Seq. 13 (2010), Article 10.5.8 (9 pages).
56. Four-term leaping recurrence relations, Linear Multilinear Algebra, 58 (2010), 875 -- 886.
57. (wtih C. K. Caldwell) Powers of Sierpinski numbers base b, Integers 10 (2010), 423 -- 436.
58. Sequences Hn for which Hn/Hn+1 approaches an irrational number, Fibonacci Quart. 48 (2010), 265 -- 275.
59. (with V. Laohakosol and P. Ruengsinsub) Independence measures of arithmetic functions, J. Number Theory 131 (2011), 1 -- 17.
60. (with S. H. Holliday) On the sum of reciprocal generalized Fibonacci numbers, Integers 11 (2011), 441 -- 455. OEIS
61. On the sum of reciprocal Tribonacci numbers, Ars Combin. 98 (2011), 447-- 459.
62. On the nearest integer of the sum of the reciprocal Fibonacci numbers, Applications of Fibonacci Numbers, (Proceedings of the 14th International Conference on Fibonacci Numbers and their Applications), Aportaciones Matematicas Investigacion 20 (2011), 171 -- 184.
63. Leaping convergents of Hurwitz continued fractions, Discuss. Math. Gen. Algebra Appl. 31 (2011), 101 -- 121.
64. Leaping convergents of Tasoev continued fractions, Discuss. Math. Gen. Algebra Appl. 31 (2011), 201 -- 216.
65. (with V. Laohakosol and P. Ruengsinsub) Independence measures of arithmetic functions II, Acta Arith. 153 (2012), 199 -- 216.
66. Congruent numbers and continued fractions, Fibonacci Quart. 50 (2012), 222 -- 226. OEIS
67. Linear recurrence relations associated with multinomial Pascal triangles, Math. Pannon. 23 (2012), 135 -- 146.
68. Linear recurrence relations associated with multinomial Pascal triangles II, Far East J. Math. Sci. (FJMS) 67 (2012), 153-- 180.
69. On convergents of certain values of Tasoev continued fractions associated with Diophantine equations, Mat. Metodi Fiz.-Mekh. Polya 55 (2012), 16--22. = J. Math. Sci. (N.Y.) 192 (2013), 498--505.
70. Some exact algebraic expressions for the tails of Tasoev continued fractions, J. Austral. Math. Soc. 92 (2012), 179--193.
71. (with K. Liptai and L. Szalay) Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers, East-West J. Math. 14 (2012), 114--120.
72. (with F. Luca and Y. Tachiya) On the multiplicative order of $F_{n+1}/F_n$ modulo $F_m$, INTEGERS 12B (2012/2013), #A8 (13 pages).
73. Poly-Cauchy numbers, Kyushu. J. Math. 67 (2013), 143--153. OEIS
74. (with K. Betsumiya, M. Hirasaka, and A. Munemasa) Upper bounds on cyclotomic numbers, Linear Algebra Appl. 438 (2013), 111--120.
75. Poly-Cauchy numbers with a q parameter, Ramanujan J. 31 (2013), 353--371. OEIS
76. (with J. J. Bravo and F. Luca) On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers, Indag. Math. 24 (2013), 181--198.
77. Hypergeometric Cauchy numbers, Int. J. Number Theory 9 (2013), 545-560. OEIS
78. (with T. Chaichana and V. Laohakosol) On convergents of certain values of hyperbolic functions formed from Diophantine equations, Tokyo J. Math. 36 (2013), 239-251.
79. Sums of products of Cauchy numbers, including poly-Cauchy numbers, J. Discrete Math. 2013 (2013), Article ID 373927, 10 pages.
80. (with F. Luca) Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers, Annales Math. Informaticae 41 (2013), 99--105.
81. (with K. Kamano) Poly-Cauchy polynomials, Mosc. J. Comb. Number Theory 3 (2013), 183--209.
82. (with V. Laohakosol and K. Liptai) A generalization of poly-Cauchy numbers and their properties, Abstract Appl. Anal. 2013 (2013), Article ID 179841, 8 pages.
83. Explicit formulae for sums of products of Cauchy numbers, including poly-Cauchy numbers, RIMS Kokyuroku Bessatsu B46 (2014), 187--203.
84. Some generalized Fibonacci identities including powers and binomial coefficients, Fibonacci Quart. 52 (2014), 50--60.
85. (with K. Kamano) Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials, Ramanujan J. 33 (2014), 301--313.
86. (with K. Kamano) Some congruence relations of poly-Cauchy numbers, J. Comb. Number Theory 5 (2014), 65--70.
87. (with H. Belbachir and L. Szalay) Linear recurrences associated to rays in Pascal's triangle and combinatorial identities, Math. Slovaca 64 (2014), 287-300.
88. Sums of products of Cauchy polynomials, including poly-Cauchy polynomials, J. Algerian Math. Soc 1 (2014), Article #2 (12 pages).
89. (with G. Shibukawa) Poly-Cauchy polynomials and multiple Bernoulli polynomials, Acta Sci. Math. (Szeged) 80 (2014), 373--388.
90. (with Florian Luca and Claudio Pita) A note on the denominators of Bernoulli numbers, Proc. Japan Academy Ser.A 90 (2014), 71-72.
91. (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) Barnes' multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials, Adv. Difference Equ. (2014) 2014:92, 16 pages.
92. (with L. Szalay) Shifted poly-Cauchy numbers, Lithuanian Math. J. 54 (2014), 166-181.
93. Convolution identities for Cauchy numbers, Acta Math. Hungar. 144 (2014), 76-91.
94. (with Florian Luca and Claudio Pita) Generalized poly-Cauchy polynomials and their interpolating functions, Colloq. Math. 136 (2014), 13-30.
95. (with L. Szalay) Balancing with binomial coefficients, Int. J. Number Theory 10 (2014), 1729--1742.
96. (with Dae San Kim, Taekyun Kim and Sung-Hun Lee) Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials, Adv. Difference Equ. (2014) 2014:140, 22 pages.
97. (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) Barnes-type Daehee polynomials, Adv. Difference Equ. (2014) 2014:141, 26 pages.
98. (with Dae San Kim, Taekyun Kim and Hyuck In Kwon) Barnes' multiple Bernoulli and generalized Barnes' multiple Frobenius-Euler mixed-type polynomials, Adv. Difference Equ. (2014) 2014:238, 16 pages.
99. (with Omar Khadir) An integer sequence for solving the modular equation 3^x\equiv b [p] when p is prime, J. Theor. Phys. Chript. 7 (2014), 11—19, Article #4.
100. (with Zuzana Masakova and Edita Pelantova) Higher-order identities for Fibonacci numbers, Fibonacci Quart. 52.5 (2014), 150-163.
101. Sums of products of Cauchy numbers, including generalized poly-Cauchy numbers, Tokyo J. Math. 37 (2015), 45-74..
102. Convolution identities for Cauchy numbers of the second kind, Kyushu. J. Math. 68 (2015), 125-144 .
103. (with Mitsugu Hirasaka) On computation of arbitrary integer powers for certain type of band matrices with Fibonacci numbers, J. Comb. Number Theory 7 (2015), 65-78.
104. (with Dae San Kim, Taekyun Kim, Seog-Hoon Rim) Multi-poly-Cauchy polynomials, J. Comput. Anal. Appl. 18 (2015), 536-550.
105. (with Taekyun Kim, Sang-Hun Lee and Jong-Jin Seo) q-poly-Cauchy numbers associated with Jackson integral, J. Comput. Anal. Appl. 18 (2015), 685--698 .
106. (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) An umbral calculus approach to poly-Cauchy polynomials with a q parameter, J. Comput. Anal. Appl. 18 (2015), 762--792.
107. (with Dmitry V. Dolgy, Dae San Kim, Taekyun Kim and Sang-Hun Lee) Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials, J. Comput. Anal. Appl. 18 (2015), 933—951.
108. (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) Barnes-type Narumi of the first kind and Barnes-type Peters of the first kind hybrid polynomials, J. Comput. Anal. Appl. 19 (2015), 1012--1037.
109. (with Mehmet Cenkci) Poly-Bernoulli numbers and polynomials with a q parameter, J. Number Theory 152 (2015), 38--54.
110. Higher-order convolution identities for Cauchy numbers of the second kind, Proc. Jangjeon Math. Soc. 18 (2015), 369--383.
111. (with Hassan Jolany and Robert B. Corcino) More properties on multi-poly-Euler polynomials, Bol. Soc. Mat. Mex. 21 (2015), 149--162.
112. (with Dae San Kim, Taekyun Kim and Dmitry V. Dolgy) Barnes-type degenerate Bernoulli polynomials, Adv. Stud. Contemp. Math. 25 (2015), 121--146.
113. (with Taekyun Kim, Dae San Kim and Sang-Hun Lee) Higher-order Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials, J. Nonlinear Convex Anal. 16 (2015), 1993--2015.
114. q-poly-Bernoulli numbers and q-poly-Cauchy numbers with a parameter by Jackson's integrals, Indag. Math. 27 (2016), 100--111.
115. (with I. Mezo), Several explicit formulae of Cauchy polynomials in terms of r-Stirling numbers, Acta Math. Hungar. 148 (2016), 522—529.
116. (with I. Mezo and L. Szalay), Incomplete Cauchy numbers, Acta Math. Hungar. 149 (2016), 306 —323. DOI:10.1007/s10474-016-0616-z
117. Incomplete poly-Cauchy numbers, Monatsh. Math. 180 (2016), 271 —288.
118. (with Dae San Kim, Taekyun Kim, Jong-Jin Seo and Seog-Hoon Rim) Barnes-type Narumi of the second kind and Poly-Cauchy of the second kind mixed-type polynomials, J. Comput. Anal. Appl. 20 (2016), 91—120.
119. (with Dae San Kim, Taekyun Kim, H. I. Kwon and Sang-Hun Lee) Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind, J. Comput. Anal. Appl. 20 (2016), 151—174.
120. (with Dae San Kim, Taekyun Kim and Dmitry V. Dolgy) Barnes-type Peters of the first kind and poly-Cauchy of the first kind mixed-type polynomials, J. Comput. Anal. Appl. 20 (2016), 803—825.
121. Higher-order convolution identities for Cauchy numbers, Tokyo J. Math. 39 (2016), 225--239.
122. (with K. Liptai and I. Mezo) Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers, Publ. Math. Debrecen 88 (2016), 357--368.
123. (with Charles K. Cook) Some identities for sequences of binomial sums of generalized Fibonacci numbers, Fibonacci Quart. 54 (2016), 105--111.
124. (with Yuri F. Bilu, Florian Luca, Amalia Pizarro-Madariaga and Pantelimon Stanica) On a divisibility relation for Lucas numbers, J. Number Theory, 163 (2016), 1--18.
125. (with Hajime Kaneko) Cauchy-Carlitz numbers, J. Number Theory, 163 (2016), 238--254.
126. (with Yilmaz Simsek) Third and higher order convolution identities for Cauchy numbers, Filomat 30 (2016), 1053--1060.
127. (with Claudio de J. Pita Ruiz V.) Several explicit formulae for Bernoulli polynomials, Math. Communications 21 (2016), 127--140.
128. (with Laszlo Szalay) q-multiparemeter-Bernoulli polynomials and q-multiparameter-Cauchy polynomials by Jackson's integrals Integers 16 (2016), #A39, 11 pages.
129. (with Robert B. Corcino, Hassen Jolany and Cristina B. Corcino) On generalized multi poly-Euler polynomials, Fibonacci Quart. 55 (2017), 41--53.
130. Generalized incomplete poly-Bernoulli and poly-Cauchy numbers, Period. Math. Hungar. 75 (2017), 96--113.
131. (with Florian Luca) Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials, Int. J. Number Theory 13 (2017), 371--391.
132. (with Feng-Zhen Zhao) The log-convexity of the poly-Cauchy numbers, Quaest. Math. 40 (2017), 39--47.
133. Complementary Euler numbers, Period. Math. Hungar. 75 (2017), 302--314. DOI: 10.1007/s10998-017-0199-7
134. (with Abdelmejid Bayad) New characterization of Appell polynomials, Integral Transforms Spec. Funct. 28 (2017), 212—222.
135. (with Eda Yuluklu and Yilmaz Simsek) Identities related to special polynomials and combinatorial numbers, Filomat 31 (2017), 4833--4844.
136. (with Paul Thomas Young) Exact p-adic valuations of Stirling numbers of the first kind, J. Number Theory 177 (2017), 20—27.
137. (with Jose Luis Ramirez) Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the q-Hurwitz-Lerch zeta function, Mediterr. J. Math. 14 (2017), Art. 133, 19 pp. DOI 10.1007/s00009-017-0935-5
138. (with Pingzhi Yuan) Hypergeometric Cauchy numbers and polynomials, Acta Math. Hungar. 153 (2017), 382—400.
139. (with Jose Luis Ramirez) Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete r-Stirling numbers, Aequationes Math. 91 (2017), 1055—1071. DOI 10.1007/s00010-017-0509-4
140. (with Jose Luis Ramirez and Victor F. Sirvent) Multi-poly-Bernoulli numbers and polynomials with a q parameter, Lithuanian Math. J. 57 (2017), 490—505.
141. (with Yilmaz Simsek) Identities related to the Stirling numbers and modified Apostol-type numbers on umbral calculus, Miskolc Math. Notes 18 (2017), 905--916.
142. Convolution identities for Tribonacci numbers, Ars Combin. 136 (2018), 199--210.
143. (with Paul Thomas Young) Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers, Int. J. Number Theory 14 (2018), 1211--1222.
144. (with Laszlo Szalay) A new formula for hyper-Fibonacci numbers, and the number of occurrences, Turkish J. Math. 42 (2018), 993--1004.
145. (with Laszlo Nemeth and Laszlo Szalay) Tilings of hyperbolic (2 x n)-board with colored squares and dominoes, Ars Math. Contemp. 15 (2018), 337--346.
146. (with Claudio de J. Pita Ruiz V.) Truncated Euler polynomials, Math Slovaca 68 (2018), 527--536. DOI:10.1515/ms-2017-0122.
147. (with Gopal Krishna Panda and Ravi Kumar Davala) Reciprocal sums of sequences involving balancing and Lucas-balancing numbers, Math. Rep. (Bucur.) 20 (2018), 201--214.
148. (with Clark Kimberling, Kalman Liptai and Laszlo Szalay) A connection between hyper-Fibonacci numbers and fissions of polynomial sequences, Fibonacci Quart. 56 (2018), 195—199.
149. (with Abdelmejid Bayad) Zeta functions interpolating the convolution of the Bernoulli polynomials, Integral Transforms Spec. Funct. 29 (2018), 611--622. https://doi.org/10.1080/10652469.2018.1478822
150. Incomplete multi-poly-Bernoulli numbers and multiple zeta values, Bull. Malays. Math. Sci. Soc. 41 (2018), 2029--2040. DOI: 10.1007/s40840-016-0443-y
151. (with Jose Luis Ramirez) Some determinants involving incomplete Fubini numbers, An. Stiint. Univ. ``Ovidius'' Constanta Ser. Mat. 26 (2018), no.3, 143--170. DOI: 10.2478/auom-2018-0038 ).
152. (with Pinthira Tangsupphathawat and Vichian Laohakosol) Minimal polynomials of algebraic cosine values, II, J. Integer Seq. 21 (2018), Article 18.9.5, 11 pages.
153. (with Claudio de J. Pita Ruiz V.) Some formulas for Bell numbers, Filomat 32 (2018) no.11 (to appear).
154. (with Bijian Kumar Patal and Prasanta Kumar Ray) Higher-order identities for the second-order sequence, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.) 64 (2018) no.2, 357--368.
155. (with Hajime Kaneko) Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers, RIMS Kokyuroku Bessatsu B72 (2018), 23—35.
156. Leaping Cauchy numbers, Filomat 32 (2018) no.18 (to appear).
157. Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers, Tokyo J. Math. 41 (2018), 541--556.
158. (with Rupam Barman) Lehmer’s generalized Euler numbers in hypergeometric functions, J. Korean Math. Soc. 56 (2019), 485--505.
159. (with Rusen Li) Convolution identities for Tribonacci numbers with symmetric formulae, Math. Rep. (Bucur.) 21 (2019) no.1 (to appear).
160. (with Amalia Pizarro-Madariaga) Harmonic numbers associated with inversion numbers in terms of determinants, Turkish J. Math. 42 (2019), 340--354.
161. (with Miho Aoki) Remarks on hypergeometric Cauchy numbers, Math. Rep. (Bucur.) (to appear) .
162. (with Vichian Laohakosol and Pinthira Tangsupphathawat) Truncated Euler-Carlitz numbers, Hokkaido Math. J. (to appear).
163. (with Gopal Krishna Panda) On several kinds of sums of balancing numbers, Ars Combin. (to appear).
164. (with Jose Luis Ramirez and Victor F. Sirvent) A $(p,q)$-analogue of poly-Euler polynomials and some related polynomials, Ukrainian Math. J. (to appear).
165. On poly-Euler numbers of the second kind, RIMS Kokyuroku Bessatsu (to appear).
166. (with Claudio de J. Pita Ruiz V.) Shifted Cauchy numbers, Quaest. Math. (online first). https://doi.org/10.2989/16073606.2018.1546775
167. Convolution identities for Tribonacci-type numbers with arbitrary initial values, Palestine J. Math. (to appear).
168. (with Wenpeng Zhang) Several properties of multiple hypergeometric Euler numbers, Tokyo J. Math. 42 (2019) (to appear).
169. (with Huilin Zhu) Hypergeometric Euler numbers, Chinese J. Contemp. Math. (to appear).
170. (with Jose Luis Ramirez) Convolutions of bi-periodic Fibonacci numbers, Hacet. J. Math. Stat. (to appear).
171. (with Pallab Kanti Dey) Some identities of Cauchy numbers associated with continued fractions, Results Math. (to appear).
172. (with Su Hu) Explicit expressions for the related numbers of higher order Appell polynomials, Quaest. Math. (to appear).
173. (with Miho Aoki and Gopal Krishna Panda) Several properties of hypergeometric Bernoulli numbers, J. Inequal. Appl. (to appear).
174. (with Bijan Kumar Patal and Prasanta Kumar Ray) On the periodicity of Lucas-balancing numbers and p-adic order of balancing numbers, Iran. J. Sci. Technol. Trans. A Sci. (to appear).
Other publications
1. Sur le probleme d'approximation diophantinne de Littlewood: une generalisation du theoreme de Baker, Seminaire d'arithmetique Saint-Etienne, 1992--1993, pp.1--6.
2. On inhomogeneous Diophantine approximation and inhomogeneous continued fraction expansion, Surikaisekikenkyusho Kokyuroku 961 (1996), 125--136. (Japanese)
3. On an inhomogeneous Diophantine approximation problem of e, Surikaisekikenkyusho Kokyuroku 1091 (1999), 18--26.
4. On inhomogeneous Diophantine approximation and the Borweins' algorithm, Surikaisekikenkyusho Kokyuroku 1160 (2000), 155--162. (Japanese)
5. Arithmetic properties of the leaping convergents of e, Surikaisekikenkyusho Kokyuroku 1319 (2003), 85--94. (Japanese)
6. (with Carsten Elsner and Iekata Shiokawa) On convergents formed by Pythagorean numbers, Diophantine Analysis and related fields 2006, Seminar on Mathematical Sciences, No.35, 2006, eds. by M. Katsurada, T. Komatsu and H. Nakada, Keio University, pp. 59--76.
7. More on the continued fractions of e^2, Diophantine Analysis and related fields 2006, Seminar on Mathematical Sciences, No.35, 2006, eds. by M. Katsurada, T. Komatsu and H. Nakada, Keio University, pp. 111--124.
8. Leaping convergents of Hurwitz continued fractions, Diophantine Analysis and related fields (DARF2007/2008), AIP Conf. Proc. 976, Amer. Inst. Phys., Melville, NY, 2008, pp.130--143.
9. Four-term leaping recurrence relations,Surikaisekikenkyusho Kokyuroku 1639(2009), pp.1--11.
10. Some recognizable forms of simple continued fractions,Diophantine Analysis and related fields (DARF2010), AIP Conf. Proc. 1264, Amer. Inst. Phys., Melville, NY, 2010, pp.27--40.
11. (with H. Belbachir and L. Szalay) Characterization of linear recurrences associated to rays in Pascal's triangle, Diophantine Analysis and related fields (DARF2010), AIP Conf. Proc. 1264, Amer. Inst. Phys., Melville, NY, 2010, pp.90--99.
12. (with T. Chaichana and V. Laohakosol) Independence of Liouville series, AIP Conf. Proc. 1309, Amer. Inst. Phys., Melville, NY, 2010, pp. 200--205.
13. Arithmetical properties of the leaping convergents of continued fractions, Surikaisekikenkyusho Kokyuroku (to appear).
14. Poly-Cauchy numbers, Surikaisekikenkyusho Kokyuroku 1806 (2012), pp.42--53. OEIS
15. (with P. Ruengsinsub, V. Laohakosol and S. Srisopha) Results about dependence and convolution, Surikaisekikenkyusho Kokyuroku 1806 (2012), pp.54--64.
16. Poly-Cauchy numbers and poly-Bernoulli numbers, Surikaisekikenkyusho Kokyuroku 1874 (2014), 98--111.43.
17. Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials, The 8th Fukuoka Number Theory conference.
18. (with V. Laohakosol, S. Prugsapitak, and J. Rattanamoong) Independence of complex Cantor series and Cantor products, Surikaisekikenkyusho Kokyuroku 1898 (2014), 47--57.
19. Convolution identities for Cauchy numbers of the first kind and of the second kind, Surikaisekikenkyushokokyuroku 1898 (2014), 174--193.
20. Incomplete Stirling numbers, Dimenziok, Matematikai Kozlemenyek, II. Kotet, 2014, 9—12.
21. Euler numbers and related numbers, and their applications, 10th Fukuoka Number Theory, 2016, #12.
22. Convolution identities for Cauchy numbers of the first kind and of the second kind, Surikaisekikenkyusho Kokyuroku 2013 (2016), 81--93.
23. Several generalizations and applications of incomplete poly-Bernoulli polynomials and incomplete poly-Cauchy polynomials, Surikaisekikenkyusho Kokyuroku 2014 (2017), 174--193.
24. Several new characteristic properties of Appell polynomials, Automorphic Forms and Related Topics, RIMS Kokyuroku 2055 (2017), 10--23.
25. Hypergeometric-type Bernoulli-Carlitz,Cauchy-Carlitz and Euler-Carlitz numbers, Proceedings of the 11th Fukuoka Symposium on Number Theory, 2018, #12, 105--115.
26. Fibonacci determinants, Proceedings of the 16th Japan Fibonacci Meeting, held at Tokyo University of Science on August 24, 2018, pp.112--120 (Japanese).
27. Degenerate Bernoulli polynomials and poly-Cauchy polynomials, RIMS Kokyuroku 2092 (2018), 146--159.
28. Diophantine Frobenius problems from semigroup's seriesand identities for zeta functions, RIMS Kokyuroku 2100 (2019), 21–34.
Talks
1. May 24, 2014: Invited lecturer, International Conference on Discrete Mathematics and Applied Sciences (ICDMAS2014), University of Thai Chamber of Commerce
2. July 24, 25, 2014: The 16th international conference on Fibonacci numbers and their applications , Rochester Institute of Technology, New York, US
3. August 2, 2014: Invited lecturer, The 27th international conference of the Jangjeon Mathematical Society , National Institute for Mathematical Sciences, Daejon, Republic of Korea
4. October 30, 2014: Analytic Number Theory , Research Institute for Mathematical Sciences, Kyoto University, Japan
5. January 8, 2015: Seminar , Nanjing University of Information Science and Technology, China
6. January 15, 2015: Seminar , Huazhong University of Science and Technology, China
7. January 30, 2015: Invited lecturer, The 15th Japan-Korea Workshop on Algebra and Combinatorics, Kyushu Institute of Technology , Japan
8. February 3, 2015: Seminar, Institute of Mathematics, University of Tsukuba, Japan
9. March 7, 2015: Diophantine Analysis and related fields , Gunma, Japan
10. March 24, 2015: Annual meeting of Mathematical Society of Japan, Meiji University, Japan
11. May 16, 2015: The 28th International Conference of the Jangjeon Mathematical Society (ICJMS2015), Antalya, Turkey
12. May 13, 14, 22, 2015: Mevlana Lectures, Akdeniz University, Turkey
13. May 29, 2015: Main speaker ,LICMA15 , Beirut, Lebanon
14. June 29, 2015: 2015 National Mathematical Conference on Fractal Theory , Central China Normal University, China
15. July 6-10, 2015: JA2015 , University of Debrecen, Hungary
16. August 21, 2015: The 13th meeting of Fibonacci Research Group , Tokyo University of Science, Japan
17. August 27, 2015: Plenary speaker International Skorobohatko Mathematical Conference, Ivan Franko State Pedagogical University, Drohobych (Lviv), Ukraine
18. September 16, 2015: Autumn meeting of Mathematical Society of Japan, Kyoto Sangyo University, Japan
19. September 22, 2015: Seminar , Stellenbosch University, South Africa
20. September 23, 2015: Seminar , University of the Witwatersrand, South Africa
21. October 9, 2015: Seminar , The Chinese University of Hong Kong
22. November 4, 2015: Analytic Number Theory , Research Institute for Mathematical Sciences, Kyoto University, Japan
23. November 15-19, 2015: Program Committee DIMACOS 2015, University of Sidi Bel Abbes, Algeria
24. November 30, 2015: Algebraic Number Theory and Related Topics 2015, Research Institute for Mathematical Sciences, Kyoto University, Japan
25. December 17, 2015: Seminar , Universidad Panamericana, Mexico City
26. January, 3, 7, 2016: Seminar , Xiamen University, China
27. January, 25-28, 28-30, 2016: Seminar and KJ2016 (Korea-Japan workshop on Algebra and Combinatorics), Pusan Naitonal University, Republic of Korea
28. May, 22-June 4, 2016: Ecole de Recherche CIMPA - Tipaza, Theorie des Nombres et Applications, Tipaza, Algeria
29. June 16, 2016: Workshop on Dynamical System and Number Theory , Shandong University, China
30. June 27, 2016: The 17th International Conference on Fibonacci numbers and their applications, University of Caen, France
31. July 27, 2016: Number theory seminar , National Institute of Techonology, Rourkela, Odisha, India
32. July 30, 2016: Colloquium, Trident Academy of Technology, Bhubaneswar, Odisha, India
33. August 1, 2016: International Workshop on Recent Trends in Mathematics & Applications(IWRTMA - 2016), Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha, India
34. August 9, 2016: 10th Fukuoka Number Theory, Kyushu Univeristy, Japan
35. August 14-18, 2016: Resource Speaker, Lecture Series and Research Training on Diophantine Equations and Related Topics , Coco Palm Resort, Danao City, Philippines
36. August 26, 2016: The 14th meeting of Fibonacci Research Group , Tokyo University of Science, Japan
37. September 7, 2016: Combinatorics Seminar , Shanghai Jiao Tong University, China
38. September 17, 2016: Autumn meeting of Mathematical Society of Japan, Kansai University, Japan
39. October 1, 2016: The third confernce of Combinatorial methods , Universidad Sergio Arboleda, Bogota, Columbia
40. October 9, 2016: Integers Conference 2016 , University of West Georgia, GA, USA
41. November 9, 2016: Matsue seminar , Shimane University, Japan
42. November 29, 2016: Algebraic Number Theory and Related Topics 2016 , Research Institute for Mathematical Sciences, Kyoto University, Japan
43. December 10, 2016: Guest Seminar , Birla Institute of Techinical Sciences, India
44. December 13, 2016: Prof. D. B. Wagh Endowment lectures (2 talks), Goa University , India
45. December 22-23, 2016: Invited lecturer, KMITL International Conference on Mathematics: Number Theory, Graph Theory and Applications (KICM2016 ), King Mongkuk's Institute of Technology Ladkrabang, Bangkok, Thailand
46. January 5, 2017: Seminar , Xiamen University, China
47. January 11, 2017: Seminar , South China Normal University
48. January 12, 2017: Seminar, South China University of Technology
49. February 2, 2017:Seminar , Kindai University, Osaka, Japan
50. February 6, 2017: Automorphic forms and related topics , Research Institute for Mathematical Sciences, Kyoto University, Japan
51. February 15, 2017: Seminar , University of Macau
52. May 24, 2017: International Workshop on Finite Groups, Table Algebras, and their Generalizations, Central China Normal University , Wuhan, China
53. June 8, 2017: Seminar, Northwest Agriculture and Forestry University
54. June 9, 2017: Seminar , Northwest University
55. June 16, 2017: Seminar , Shandong University, Weihai
56. July 4, 2017: JA2017 , University of Caen, France
57. July 17-19, 2017: Invited speaker, International conference in Number Theory and Applications 2017 (ICNA2017) , Kasetsert University, Thailand
58. July 21, 2017: Lecture series , Khon Kaen University, Thailand
59. July 24, 25, 2017: Lecture series , Prince of Songkla University, Thailand
60. August 9, 2017: 11th Fukuoka Number Theory , Kyushu Univeristy, Japan
61. August 18, 2017: Seminar , Indian Institute of Technology, Delhi, India
62. August 25, 2017: The 15th meeting of Fibonacci Research Group , Tokyo University of Science, Japan
63. September 11-14, 2017: Autumn meeting of Mathematical Society of Japan , Yamagata University, Japan
64. October 6, 2017: Seminario Aritmetica y Geometria en Valparaiso, Universidad de Valparaiso, Chile
65. October 12-26, 2017: Workshop on Number Theory, dedicated to Special number sequences and their generalizations, Universidad Panamericana, Mexico City
66. November 1, 2017: Analytic Number Theory and Related Areas, Research Institute for Mathematical Sciences, Kyoto University, Japan
67. November 15, 2017: Chern Istitute of Mathematics Seminar, Nankai University
68. November 22-25, 2017: Deuxiemes Journees, Algebra, Theorie des Nombres et leurs Applications , Faculty of Science, Oujda, Morocco
69. December 1, 2017: Seminar, Indian Institute of Technology, Guwahati , India
70. December 12, 2017: Seminar , South China University of Technology
71. December 28, 2017: Seminar, Northwest University
72. January 3, 2018: Seminar , Xiamen University
73. January 15, 2018: Analytic and Arithmetic theory of Automorphic Forms, Research Institute for Mathematical Sciences, Kyoto University, Japan
74. February 5, 2018: Seminar, Indian Institute of Technology, Roorkee , India
75. February 8, 2018: Seminar, National Institute of Science Education and Research, Bhubaneswar, Odisha, India
76. February 13, 15, 16, 2018: Seminars, Sambalpur University , Jyoti Vihar, Burla, India
77. February 23, 24, 2018: Seminar , RIKEN, iTHES, Saitama, Japan
78. May 17, 2018: Seminar , Zhejiang Sci-Tech University
79. May 30, 2018: Seminar, Center for Applied Mathematics at Tianjin University
80. June 26, 2018: Seminar , Academy of Mathematics and System Science, Chinese Academy of Sciences
81. July 11, 2018: Seminar , Theoretical Statistics and Mathematics Unit, Indian Statistical Institute Delhi Centre
82. July 20, 2018: Seminar, National Institute of Technology, Rourkela, India
83. August 24, 2018: The 16th meeting of Fibonacci Research Group , Tokyo University of Science, Japan
84. September 21, 2018: Seminar, South China University of Technology
85. October 17, 2018: Colloquium & Seminar, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences
86. October 29-31: Analytic Number Theory and related topics , Research Institute for Mathematical Sciences, Kyoto University, Japan
87. November 9, 2018: Mathematics Seminar No.1708 , Shanghai University
88. November 19, 2018: 2018 International Symposium on Information and Intelligence Computing, Zhejiang Sci-Tech University
89. December 13-15, 2018: Invited Speaker (On-line talk), ICNA2018 International Conference in Number Theory and Applications at Walailak University, Thailand
90. April 24-27, 2019: Invited Speaker, 3rd International Congress, Algebra, Number Theory and Applications, Oujda Morocco
Seminar by Invited speakers
1. September 28,2017: Miho Aoki(Shimane University,Japan)
2. September 7,2017: Leonid Fel(Technion-Israel Institute of Technology,Haifa)
3. April 17,2017: Eiichi Bannai(Shanghai Jiaotong University)
4. April 5,2017: Vichian Laohakosol(Kasetsert University,Thailand)
5. March 23,2017: Guangshi Lv(Shandong University)
6. October 27,2016: Paul Thomas Young(College of Charleston,USA)
7. March 17,2016: Laszlo Szalay(University of West Hungary)
8. March 7,2016: Christian Ballot(Universite Caen,France)
9. June 18,2015: Istvan Mezo(Nanjing University of Information Science and Techonology)
10. December 20,2013: Omar Khadir(University of Hassan II-Mohammedia-Casablanca,Morocco)
11. December 6,2013: Takahiro Wakasa(Nagoya University,Japan,D3)
12. November 1,2013: Vichian Laohakosol(Kasetsert University,Thailand)
13. May 20,2013: Laszlo Szalay(University of West Hungary)
14. December 10,2012: Hajime Kaneko(Nihon University,JSPS,Japan;MSJ Takebe Prize Awardee)
15. August 8,2012: Ken Kamano(Osaka Institute of Technology,Japan)
16. July 2,2012: Hideyuki Sakata(Kyushu University,Japan,M2)
17. April 23,2012: Masanobu Kaneko(Kyushu University,Japan)
18. January 23,2012: Florian Luca(UNAM Morelia,Mexico)
19. July 3,2009: Sarah H.Holliday(Southern Polytechinic State University,USA)
20. November 4,2008: Chiris K.Caldwell(University of Tennessee at Martin,USA)
Reviews
Mathematical Reviews
2- (2019) , 21 (2018) , 21 (2017), 16 (2016), 16 (2015), 6 (2014), 10 (2013)
Zentralblatt fuer Mathematik
0- (2019) , 6 (2018) , 7 (2017), 6 (2016), 6 (2015), 4 (2014), 3 (2013)
Referee (2014 --)
11- (2019), 37 (2018), 33 (2017), 22 (2016), 37 (2015), 35 (2014)
SCI
Acta Arithmetica
Journal of Combinatorial Theory, Series A
Journal of Number Theory
Journal of Mathematical Analysis and Applications
Science China Mathematics
SCIE
Advances in Difference equations
Ars Combinatoria
Bulletin of the Australian Mathematical Society
Bulletin of the Korean Mathematical Society
Bulletin of the Iranian Mathematical Society
Colloquium Mathematicum
Czechoslovak Mathematical Journal
Filomat
Glasnik Matematicke
Graphs and Combinatorics
Hacettepe Journal of Mathematics and Statistics
Hokkaido Mathematical Journal
Integral Transforms and Special Functions
International Journal of Number Theory
Journal of Inequalities and Applications
Lithuanian Mathematical Journal
Mathematial Communications
Mediterranean Journal of Mathematics
Miskolc Mathematical Notes
Osaka Journal of Mathematics
Proceedings of the Japan Academy, Series A, Mathematical Sciences
Publication Mathematicae Debrecen
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Quaestiones Mathematicae
The Ramanujan Journal
Rocky Mountain Journal of Mathematics
Tokyo Journal of Mathematics
Turkish Journal of Mathematics
Utilitas Mathematica
Others
Abstract and Applied Analysis
Advanced Studies in Contemporary Mathematics
Annales Mathematicae et Informaticae
Applied Mathematics and Computation
Australasian Journal of Combinatorics
Boletin de la Sociedad Matematica Mexicana
Contemporary Mathematics
European Journal of Mathematics
Fibonacci Quarterly
Integers
Iranian Journal of Science and Technology
Journal of Integer Sequences
Kyungpook Mathematical Journal
Malaysian Journal of Mathematical Sciences
Mathematics Magazine
Research in Number Theory
(etc.)
Editorial Board
1. Journal of Algebra, Number Theory: Advances and Applications(ISSN:0975-1548)
2. Journal of Algerian Mathematical Society(ISSN:2253-0258)
3. International Journal of Applied Mathematics & Statistical Sciences(IJAMSS) (ISSN:2319-3972, 2319-3980)
4. Journal of Mathematical Sciences and Applications (JMSA(ISSN:2333-8784 print, 2333-8792 online)
5. American Journal of Applied Mathematics and Statistics (ISSN: 2328-7306 print, 2328-7292 online
6. American Journal of Applied Mathematics(ISSN: 2330-0043 print, 2330-006X online)
7. Science Journal of Applied Mathematics and Statistics(ISSN: 2376-9491 print, 2376-9513 online)
8. JP Journal of Algebra, Number Theory and Applications(ISSN: 0972-5555) (January 2015– )
9. Journal of Advances in Mathematics and Computer Science (ISSN: 2456-9968) (December 13, 2018 -- December 12, 2022)
