論文
1.
On conjugacy classes of the pro-l braid group of degree 2, Proc. of
Japan Acad., Vol. 62 Ser. A No. 7, 274--277, (1986).
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2.
On some properties of the universal power series for Jacobi sums (with
Y. Ihara and A. Yukinari), Advanced Studies in Pure Math., 12, 65--86,
(1987).
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3.
On the automorphism group of some pro-l fundamental groups (with M.
Asada), Advanced Studies in Pure Math., 12, 137--159, (1987).
pdf
4.
On the universal power series for Jacobi sums and the Vandiver conjecture
(with H. Ichimura), J. of Number Theory, 31, 312--334, (1989).
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5.
Certain automorphism groups of pro-l fundamental groups of punctured
Riemann surfaces, J. of Fac. of Sci., Univ. of Tokyo, 36, 363--372, (1989).
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6.
Supersingular j-invariants as singular moduli mod p, Osaka J. of Math.,
26, 849--855, (1989).
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7.
A generalization of the Chowla-Selberg formula and the zeta functions of
quadratic orders, Proc. of Japan Acad., Vol. 66 Ser. A No. 7, 201--203,
(1990).
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8.
Pro-l pure braid groups of Riemann surfaces and Galois representations
(with Y. Ihara), Osaka J. of Math., 29, 1--19, (1992).
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9.
Selfsimilarity in a class of quadratic-quasiperiodic chains (with T. Odagaki),
J. of Phys. Soc. of Japan, 62-4, 1147--1152, (1993).
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10.
Self-similarity of binary quasiperiodic sequences (with T. Odagaki), J.
of Phys. A: Math. Gen. 27, 1683--1690, (1994).
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11.
A Recurrence Formula for the Bernoulli Numbers, Proc. of Japan Acad. Vol.
71 Ser. A No. 8, 192--193 (1995).
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12.
A generalized Jacobi theta function and quasimodular forms (with D. Zagier),
``The Moduli Space of Curves'', Progress in Math. 129, Birkhauser, 165--172,
(1995).
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13.
The Fourier coefficients and the singular moduli of the elliptic modular
function j(tau), Mem. of Fac. Eng. and Design, Kyoto Institute of Technology
44, 1--5, (1996).
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14.
On Ito's observation on coefficients of the modular polynomial, Proc. of
Japan Acad. Vol. 72 Ser. A No. 5, 95--96, (1996).
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15.
Zeros of certain modular functions and an application (with T. Asai and
H. Ninomiya), Comment. Math. Univ. St. Pauli, 46-1, 93--101, (1997).
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16.
Poly-Bernoulli numbers, J. de Théorie des Nombres 9, 221--228, (1997).
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17.
Supersingular j-invariants, hypergeometric series, and Atkin's orthogonal
polynomials (with D. Zagier), AMS/IP Studies in Advanced Mathematics, vol.
7, 97--126, (1998).
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18.
Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
(with T. Arakawa), Nagoya Math. J., vol. 153, 189--209, (1999).
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19.
Traces of singular moduli and the Fourier coefficients of the elliptic
modular function j(tau), ``Number Theory'' (R. Gupta and K. Williams
eds.), CRM Proceedings and Lecture Notes, vol. 19, 173--176, (1999).
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20.
On Poly-Bernoulli numbers (with T. Arakawa), Comment. Math. Univ. Sanct.
Pauli, vol. 48-2, 159--167, (1999).
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21.
素数位数を有する楕円曲線の構成とその計算量評価(with K. Horiuchi, Y. Futa, R. Sakai, and M. Kasahara), 電気情報通信学会論文誌A, Vol. J82-A, No. 8,
1269--1277, (1999).
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22.
On the zeros of certain modular forms, ``Number Theory and its Applications
'', (S. Kanemitsu and K. G\"yory eds.), Kluwer Academic Publishers,
193--197, (1999).
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23.
The Akiyama-Tanigawa algorithm for Bernoulli numbers, Electronic J. of
Integer Sequences, vol. 3, article 00.2.9, (2000).
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24.
Hypergeometric modular forms and supersingular elliptic curves (with N.
Todaka), Proceedings on Moonshine and related topics (J. Mckay and A. Sebbar
ed.), CRM Proceedings and Lecture Notes, vol. 30, 79--83, (2002).
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25.
When is a polygonal pyramid number again polygonal? (with K. Tachibana), Rockey Mountain J. of Math., vol. 32-1, 149--165, (2002).
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26.
On modular forms arising from a differential equation of hypergeometric
type (with M. Koike), The Ramanujan J., vol. 7, 145--164, (2003).
pdf
27.
Quasimodular forms as solutions to a differential equation of hypergeometric type (with
M. Koike), Galois Theory and Modular Forms, (ed. K. Hashimoto, K. Miyake and H. Nakamura), Kluwer Academic Publishers, 329--336, (2003).
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28.
A variation of Euler's approach to values of the Riemann zeta function
(with N. Kurokawa and M. Wakayama), Kyushu J. Math., vol. 57, 175--192,
(2003).
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29.
On coefficients of Yablonskii-Vorob'ev polynomials (with H. Ochiai), J.
Math. Soc. Japan, vol. 55-4, 985--993, (2003).
pdf
30.
The Kappa function (with M. Yoshida), Int. J. Math., vol. 14-9, 1003--1013,
(2003).
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31.
On multiple L-values (with T. Arakawa), J. Math. Soc. Japan, vol. 56-4,
967--991, (2004).
pdf
32.
On the local factor of the zeta function of quadratic orders, Zeta functions,
Topology, and Quantum Physics, Developments in Mathematics, Vol.14,
Springer, 75--79, (2005).
pdf
33.
On modular forms of weight (6n+1)/5 satisfying a certain differential
equation, ``Number Thoery --- Tradition and Modernization'', (Z. Wenpeng
and Y. Tanigawa eds.), Kluwer, 97--102, (2006).
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34.
Derivation and double shuffle relations for multiple zeta values (with
K. Ihara and D. Zagier), Compositio Math. vol. 142-02, 307--338, (2006).
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35.
Double zeta values and modular forms (with H. Gangl and D. Zagier), ``Automorphic
forms and Zeta functions'', Proceedings of the conference in memory of
Tsuneo Arakawa, World Scientific, 71--106, (2006).
pdf
36.
On extremal quasimodular forms (with M.Koike), Kyushu J. Math., vol. 60-2, 457--470, (2006).
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37.
On some properties of polynomials related to hypergeometric modular forms
(with N. Niiho), The Ramanujan J., 12-3, 321--325, (2006).
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38.
On ordinary primes for modular forms and the theta operator (with M. Chida),
Proc. Amer. Math. Soc. 135, 1001--1005, (2007).
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39.
On an extension of the derivation relation for multiple zeta values,
``The Conference on L-functions'', (L. Weng and M. Kaneko eds.),
World Scientific, 89--94, (2007).
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40.
On a conjecture for the dimension of the space of the multiple zeta values
(with M.Noro and K.Tsurumaki), Software for Algebraic Geometry, IMA 148, 47--58,
(2008).
pdf
41.
A note on poly-Bernoulli numbers and multiple zeta values,
Diophantine analysis and related fields (DARF 2007/2008), AIP Conf. Proc.
976, Amer. Inst. Phys., Melville, NY, 118--124, (2008).
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42.
Ultradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve (with K. Kajiwara, A. Nobe and T. Tsuda), Kyushu J. Math., vol. 63-2, 315--338, (2009).
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43.
Observations on the 'Values' of the elliptic modular function j(tau) at real quadratics, Kyushu J. Math., vol. 63-2, 353--364, (2009).
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44.
Poly-Bernoulli numbers and related zeta functions, ``Algebraic and Analytic Aspects of Zeta Functions and L-functions'' (Ed. by G. Bhowmik, K. Matsumoto and H. Tsumura), MSJ Memoir, vol 21, 73--85, (2010).
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45.
On a kind of duality of multiple zeta-star values (with Y. Ohno), International Journal of Number Theory, Vol.6-8, 1927-1932, (2010)
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46.
ECDLP への Generalized Weil Descent Attack の評価 (齋藤恆和,小林鉄太郎,山本剛 と共著), Proceedings of the 2010 Symposium on Cryptography and Information Security, Takamatsu, Japan, 1D2-3, (2010).
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47.
Congruences modulo 4 of calibers of real quadratic fields (with K. Mori), Ann. Sci. Math. Quebec (2011)
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48.
Elliptic curves and Fibonacci numbers arising from Lindenmayer system with Symbolic Computation (with Hiroshi Yoshida and Yoshihiro Miwa), Applicable Algebra in Engineering, Communication and Computing, Vol. 22 (2), pp. 147-164, (2011).
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49.
On Fourier coefficients of some meromorphic modular forms (with Y. Honda), Bulletin of the Korean Mathematical Society, 49(6), p1349-1357, (2012)
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50.
Modular Forms and Second Order Ordinary Differential Equations : Applications to Vertex Operator Algebras (with K. Nagatomo and Y. Sakai), Letters in Mathematical Physics, 103(4), p439-453, (2013)
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51.
The Ramanujan-Serre differential operators and certain elliptic curves (with Y. Sakai) Proc. Amer. Math. Soc. 141 (2013), 3421-3429
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52.
Double zeta values, double Eisenstein series, and modular forms of level 2 (with K. Tasaka), Math. Ann. 367, pp 1091-1118, (2013)
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53.
Multi-Poly-Bernoulli Numbers and Finite Multiple Zeta Values (with K. Imatomi and E. Takeda) J. of Integer Sequences. Vol. 17 (2014), Article 14.4.5.
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54.
On multiple zeta values of extremal height (with M. Sakata), Bull. Aust. Math. Soc., 93, 186--193, (2016).
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55.
Affine vertex operator algebras and modular linear differential equations (with Y. Arike, K. Nagatomo, and Y. Sakai),
Letters in Mathematical Physics, 106 (5), 693--718, (2016)
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56.
On the parity of calibers of real quadratic orders (with H. Sakata and M. Takeuchi), Siauliai Mathematical Seminar, 11 (19), 35--43, (2016)
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57.
The third order modular linear differential equations (with K.~Nagatomo and Y.~Sakai), J. of Algebra, 485-1, 332--352, (2017)
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58.
有限多重ゼータ値（Finite multiple zeta values, in Japanese）, RIMS Kôkyûroku Bessatsu B68, 175--190, (2017).
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59.
Point-arrangements in the real projective spaces and the Fibonacci polynomials (with M. Yoshida), Kumamoto J. of Math., 31, 1 -- 13, (2018).
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60.
On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
(with F. Sakurai and H. Tsumura), J. de Théorie des Nombres de Bordeaux, 30-1, 203--218, (2018).
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61.
A new integral-series identity of multiple zeta values and regularizations (with S. Yamamoto), Selecta Math., 24, 2499--2521, (2018).
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62.
Multi-poly-Bernoulli numbers and related zeta functions (with H. Tsumura), Nagoya Math. J. 232, 19--54, (2018).
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63. Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values (with K. Oyama and S. Saito), Bull. Aust. Math. Soc., 100, 34--40, (2019).
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64.
An introduction to classical and finite multiple zeta values, Publications Mathématiques de Besançon, 2019/1, 103--129, (2019).
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65.
Zeta functions connecting multiple zeta values and poly-Bernoulli numbers (with H. Tsumura), Adv. Stud. Pure Math., 84, 181--204, (2020).
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66.
Genus character L-functions of quadratic orders and class numbers (with Y. Mizuno), J. London Math. Soc., 102-1, 69--98, (2020).
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67.
Algebraic independence results for the values of theta-constants and some identities (with C.~Elsner and Y.~Tachiya), J. Ramanujan Math. Soc., 35-1, 71--80, (2020).
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68.
On multiple zeta vaues of level two (with H. Tsumura),
Tsukuba J. Math., 44-2, 213--234, (2020).
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69. Quasi-derivation relations for multiple zeta values revisited
(with H. Murahara and T. Murakami), Abh. Math. Semin. Univ. Hambg., 90, 151--160, (2020).
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70. On poly-cosecant numbers (with M. Pallewatta and H. Tsumura), J. of Integer Sequences,
Vol. 23 (2020), Article 20.6.4.
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71. A generalized regularization theorem and Kawashima's relation for
multiple zeta values (with C. Xu and S. Yamamoto), Journal of Algebra, 580,
247--263, (2021).
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72. A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers (with
D. Duverney, C. Elsner, and Y. Tachiya), Reseach in Number Theory, 8, no. 2, Paper No. 31, 13 pp, (2022).
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73. A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions (with A. Ebisu, Y. Haraoka,
H. Ochiai, T. Sasaki, and M. Yoshida), Osaka J. Math., 60, no. 1, 153--206, (2023).
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74. On finite multiple zeta values of level two (T. Murakami and A. Yoshihara), Pure and Applied Mathematics Quarterly, 19, No. 1, 267--280, (2023).
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75. Multiple L-values of level four, poly-Euler numbers, and related zeta functions (with H. Tsumura), to appear in Tohoku Math. J.
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76. Two formulas for certain double and multiple polylogarithms in two variables (with H. Tsumura), to appear in Comment. Math. Univ. Sanct. Pauli
arXiv
77. Elliptic normal curves of even degree and theta functions (with M. Kuwata), to appear in Reseach in Number Theory
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78. On finite analogues of Euler's constant (with T. Matsusaka and S. Seki), preprint, arXiv
著書
1. ベルヌーイ数とゼータ関数 (荒川恒男, 伊吹山知義と共著), 牧野書店, (2001).講義録
1. 多重ゼータ値と多重ベルヌーイ数, 都立大学数学教室セミナー報告, (1997). pdf報告集原稿など
1. E. de Shalit 「The Explicit Reciprocity Law in Local Class Field Theory」(preprint)の紹介， 数理解析研究所講究録, 589 (1986)． リンクその他
1. A Note （導分関係式の予想） (1998)． pdf