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ON POLYNOMIAL-STRUCTURE OF RINGS OF MODULAR FORMS FOR Γ0(N)
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 Title & Authors
ON POLYNOMIAL-STRUCTURE OF RINGS OF MODULAR FORMS FOR Γ0(N)
Kim, Daeyeoul; Li, Yan;
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 Abstract
In this note, we show that is a weighted polynomial ring if and only if N = 1, 2, 4, where is the graded ring of integral-weighted modular forms for the congruence subgroup .
 Keywords
modular forms;congruence subgroup;weighted polynomial ring;
 Language
English
 Cited by
 References
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2.
L. J. P. Kilford, Modular Forms: A Classical and Computational Introduction, Imperial College Press, 2008.

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N. Koblitz, Introduction to Elliptic Curves and Modular Forms, Springer-Verlag, 1993.

4.
K. Ono, The web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-sereis, American Mathematical Society, 2004.