5 citations · 5 across the 5 of their papers we have counts for
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Graded rings of modular forms (1)
Suda Tomohiko
We study modular forms of some congruence subgroups. In this paper, we treat the cases level is 2-power, 3-power or 5. Structures of graded rings and many identities of infinite su…
An explicit representation of primitive forms
Saito Hayato, Suda Tomohiko
The sets of primitive foms may be decomposed into some Galois conjugacy classes. The purpose of this paper is to write down all of such classes with cardinal 1 or 2, explicitly in…
Explicit structure of the graded ring of modular forms
Suda Tomohiko
We give explicit structure of the graded ring of modular forms with respect to Gamma(N) (N=1,2,3,4,5,6,7,8,9,10,12,16,18) and for some other congruence groups. We also study the mo…
An explicit structure of the graded ring of modular forms of small level
Suda Tomohiko, Saito Hayato
In this paper, we study the explicit structure of the graded ring of elliptic modular forms for the congruence subgroup with N=1,2,3,4,5,6,7,8,9,10,12,16,18,25. More preci…
Trace formulas of the Hecke operator on the spaces of newforms
Suda Tomohiko
In this paper, for a square-free integer l>1, a even positive integer k and a positive integer N, we give a trace formula of the Hecke operator T(l) on the space S_k^0(N) of all ne…