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

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

2011-08-19

arxiv.org/abs/1108.3933v3

Mathematics

Number Theory

Scientific paper

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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