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

2011/08/19 by Suda Tomohiko, Tomohiko, Suda, Saito Hayato +1
Mathematics · #11F11(Primary) #11F12 #11F30(Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F12

paper · pdf · doi:10.48550/arxiv.1108.3933

arxiv created 2011/08/30 · arxiv updated 2011/08/31

Abstract

In this paper, we study the explicit structure of the graded ring of elliptic modular forms for the congruence subgroup Γ₀(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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• Graded rings of modular forms (1)
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