Publications
Refereed Papers
- Weighted sum formulas for finite multiple zeta values, to appear in J. Number Theory.
- Lonesum decomposable matrices, Discrete Math. 341 (2018), 341-349. (Article) (Feb. 2018) arXiv:1701.07157
- Finite Mordell-Tornheim multiple zeta values, Funct. Approx. Comment. Math. 54 (2016), 65-72. (Article) (Mar. 2016)
- (with Takao Komatsu) Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials, Ramanujan J. 33 (2014), 301-313. (Article) (Feb. 2014)
- (with Takao Komatsu) Some congruence relations of poly-Cauchy numbers, J. Comb. Number Theory 5, no. 2 (2013), 145-150. (Article)
- (with Takao Komatsu) Poly-Cauchy polynomials, Moscow J. Comb. Number Theory 3, no. 2 (2013), 61-87. (Article) (Dec. 2013)
- Analytic continuation of the Lucas zeta and L-functions, Indag. Math. 24, no. 3 (2013), 637-646. (Article) (Jun. 2013)
- (with Yasuo Ohno and Shuji Yamamoto) Weighted lonesum matrices and their generating function, Integers 13 (2013), #A25. (Article)
- A formula for multi-poly-Bernoulli numbers of negative index, Kyushu Journal of Mathematics 67, no. 1 (2013), 29-37. (Article)
- Sums of products of poly-Bernoulli numbers of negative index, Journal of Integer Sequences 15 (2012) Article ID 12.1.3, 8pp. (Article) (Dec. 2011)
- On 3-adic valuations of generalized harmonic numbers, Integers 11 (2011), #A69. (Article) (Article)
- On a characterization of a q-analogue of the gamma function, International Journal of Applied Mathematics & Statistics 21 (2011), 110-117. (Article) (June 2011)
- Multiple p-adic log-gamma functions and their characterization theorem, Acta Arithmetica 145 (2010), 109-122. (Article)
- Sums of products of hypergeometric Bernoulli numbers, Journal of Number Theory 130 (2010), 2259-2271. (Article)
- Sums of products of Bernoulli numbers, including poly-Bernoulli numbers, Journal of Integer Sequences 13 (2010) Article ID 10.5.2, 10pp. (Article)
- Bernoulli numbers attached to p-adic functions and a Clausen-von Staudt type theorem, JP Journal of Algebra, Number Theory and Applications 15 (2009), 29-44. (Article)
- p-adic q-Bernoulli numbers and their denominators, International Journal of Number Theory 4 (2008), 911-925. (Article)
- The multiple Hurwitz zeta function and a generalization of Lerch's formula, Tokyo Journal of Mathematics 29 (2006), 61-73. (Article)
Non-Refereed Papers
- The analytic continuation of a certain double zeta function (in Japanese), Bulletin of Salesian Polytechnic 37 (2011), 13-16. (Article)
- A q-analogue of the von Staudt-Clausen theorem (in Japanese), Gakujutsu Kenkyu, School of Education, Waseda University Series of Education 55, 23-29, February, 2007. (Article)
- On a q-analogue of the p-adic lo-gamma functions (in Japanese), Gakujutsu Kenkyu, School of Education, Waseda University Series of Education 54, 1-11, February, 2006. (Article)
- The analytic continuation of multiple L-function and its special values at non-positive integers (in Japanese), The Bulletin of the Graduate School of Education of Waseda University 13-1 (2005), 351-356 (Article)
Others
- Dirichlet series associated with hyperharmonic numbers, Memoirs of the Osaka Institute of Technology, Series A 56, No. 2 (2011), 11-15. (Article)
Preprints
- Matiyasevich type identities for hypergeometric Bernoulli polynomials and poly-Bernoulli polynomials, in preparation.