11 citations · 29 across the 19 of their papers we have counts for
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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.
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…
Differential equations involving cubic theta functions and Eisenstein series
Kazuhide Matsuda
In this paper, we derive systems of ordinary differential equations (ODEs) satisfied by modular forms of level three, which are level three versions of Ramanujan's system of ODEs s…
Analogues of Jacobi's derivative formula III
Kazuhide Matsuda
In this paper, we realize high-level versions of Jacobi's derivative formula to all the rational characteristics corresponding to level For this purpose, we pr…