| 研究業績 |
| [1] |
Zeros of certain modular
functions and an application, Comment. Math. Univ.
St Pauli 46-1, 93-101, (1997) (With T. Asai and
H. Ninomiya). |
| [2] |
Poly-Bernoulli numbers,J.
de Th\'eorie des Nombres 9, 199-206, (1997) |
| [3] |
Supersingular j-invariants,
hypergeometric series, and Atkin's orthogonal polynomials,
"Computational Perspectives on Number Theory",AMS/IP
Studies in Advanced Mathematics, vol. 7, 97-126,
(1997) (With D. Zagier). |
| [4] |
Multiple zeta values, poly-Bernoulli
numbers, and related zeta functions, Nagoya Math.
J., vol. 153, 189--209, (1999) (With T. Arakawa). |
| [5] |
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). |
| [6] |
On Poly-Bernoulli numbers,
Comment. Math. Univ. Sanct. Pauli, vol. 48-2, 159--167,
(1999) (With T. Arakawa). |
| [7] |
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). |
| [8] |
The Akiyama-Tanigawa algorithm
for Bernoulli numbers, Electronic J. of Integer
Sequences, vol. 3, article 00.2.9, http://www.research.att.com/~njas/sequences/JIS/
(2000). |
| [9] |
. 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). |
| [10] |
When is a polygonal pyramid
number again polygonal? (with K. Tachibana), Rockey
Mountain J. of Math., vol. 32-1,149--165, (2002). |
| [11] |
On modular forms arising
from a differential equation of hypergeometric
type (with M. Koike), The Ramanujan J., vol. 7,
145--164, (2003). |
| [12] |
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, (2003). |
| [13] |
A variation of Euler's approach
to values of the Riemann zeta function (with N.
Kurokawa and M. Wakayama), Kyushu J. Math., vol.
57-1, 175--192, (2003). |
| [14] |
On coefficients of Yablonskii-Vorob'ev
polynomials (with H. Ochiai),J. Math. Soc. Japan,
vol. 55-4, 985--993, (2003). |
| [15] |
The kappa function, (with
M. Yoshida), Int. J. Math., vol. 14-9,1003--1013,
(2003). |
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