On polynomial-structure of rings of modular forms for γ0(N)

Daeyeoul Kim; Yan Li

doi:10.4134/CKMS.2013.28.3.481

On polynomial-structure of rings of modular forms for γ₀(N)

Daeyeoul Kim^*
, Yan Li

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences
China Agricultural University

Research output: Contribution to journal › Journal article › peer-review

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 ring of integral-weighted modular forms for the congruence subgroup γ₀(N).

Original language	English
Pages (from-to)	481-486
Number of pages	6
Journal	Communications of the Korean Mathematical Society
Volume	28
Issue number	3
DOIs	https://doi.org/10.4134/CKMS.2013.28.3.481
State	Published - 2013

Keywords

Congruence subgroup
Modular forms
Weighted polynomial ring

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10.4134/CKMS.2013.28.3.481

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title = "On polynomial-structure of rings of modular forms for 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 ring of integral-weighted modular forms for the congruence subgroup γ0(N).",

keywords = "Congruence subgroup, Modular forms, Weighted polynomial ring",

author = "Daeyeoul Kim and Yan Li",

year = "2013",

doi = "10.4134/CKMS.2013.28.3.481",

language = "English",

volume = "28",

pages = "481--486",

journal = "Communications of the Korean Mathematical Society",

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T1 - On polynomial-structure of rings of modular forms for γ0(N)

AU - Kim, Daeyeoul

AU - Li, Yan

PY - 2013

Y1 - 2013

N2 - 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 ring of integral-weighted modular forms for the congruence subgroup γ0(N).

AB - 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 ring of integral-weighted modular forms for the congruence subgroup γ0(N).

KW - Congruence subgroup

KW - Modular forms

KW - Weighted polynomial ring

UR - https://www.scopus.com/pages/publications/84884364381

U2 - 10.4134/CKMS.2013.28.3.481

DO - 10.4134/CKMS.2013.28.3.481

M3 - Journal article

AN - SCOPUS:84884364381

SN - 1225-1763

VL - 28

SP - 481

EP - 486

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 3

ER -

On polynomial-structure of rings of modular forms for γ₀(N)

Abstract

Keywords

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