activity
20072026
most citedRational solutions of the Noumi and Yamada system of type

11 citations · 29 across the 19 of their papers we have counts for

collaborators

20 papers

math.NT2026

Analogue of the theta group II

Kazuhide Matsuda

In this series of papers, we introduce higher level versions of the theta group In this paper, we treat the theta group of level , and construct modular forms…

math.NT2026

Analogue of the theta group

Kazuhide Matsuda

In this paper, we introduce higher level versions of the theta group In particular, we treat level 3 and 4 versions of the theta group, and and prove tha…

math.NT2025

Notes on the multiplier systems of and

Kazuhide Matsuda

The multiplier systems of and are characters. In this paper, we determine their kernels, Ker and Ker.

math.CA2020

Fuchsian differential equations with modular forms

Kazuhide Matsuda

The aim of this paper is to derive new results about Jacobi's inversion formulas for modular forms of levels 5 and 6. For this purpose, we use Farkas and Kra's theory of theta func…

math.CA2016★ 2 cited

Note on some theorem of Farkas and Kra

Kazuhide Matsuda

In this paper, we apply high level versions of Jacobi's derivative formula to number theory such as quarternary quadratic forms and convolution sums of some arithmetical functions.

math.CA2016

Differential equations satisfied by modular forms of level 5

Kazuhide Matsuda

This paper describes the derivation of the level 5 versions of Ramanujan's system of ordinary differential equations satisfied by the Eisenstein series, , and $E_6(q…