An explicit structure of the graded ring of modular forms of small level

Suda Tomohiko; Saito Hayato

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arXiv · 1108.3933

An explicit structure of the graded ring of modular forms of small level

Suda Tomohiko·Saito Hayato

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Abstract

In this paper, we study the explicit structure of the graded ring of elliptic modular forms for the congruence subgroup $\Gamma_0(N)$ with N=1,2,3,4,5,6,7,8,9,10,12,16,18,25. More precisely, making use of some relations between Fourier expansions, we determine the ring by a quotient of the polynomial ring in several variables.

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Suda Tomohiko, Saito Hayato. 2011-08-19. An explicit structure of the graded ring of modular forms of small level. https://arxiv.org/abs/1108.3933

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