논문KCI 등재
On polynomial-structure of rings of modular forms for Γ0(N)
대한수학회 (The Korean Mathematical Society)|2013.07|대한수학회논문집 (Communications of the KMS)|제28권 제3호|pp. 481-486
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초록
In this note, we show that M(Γ0(N)) is a weighted polyno-mial ring if and only if N = 1, 2, 4, where M(Γ0(N)) is the graded ringof integral-weighted modular forms for the congruence subgroup Γ0(N).
Abstract
In this note, we show that M(Γ0(N)) is a weighted polyno-mial ring if and only if N = 1, 2, 4, where M(Γ0(N)) is the graded ringof integral-weighted modular forms for the congruence subgroup Γ0(N).
참고문헌 (4)
- F. Diamond, "A First Course in Modular Forms" (2005), Springer-Verlag
- L. J. P. Kilford, "Modular Forms: A Classical and Computational Introduction" (2008), Imperial College Press
- N. Koblitz, "Introduction to Elliptic Curves and Modular Forms" (1993), Springer-Verlag
- K. Ono, "The web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-sereis" (2004), American Mathematical Society
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