Spaces of modular forms generated by eta-quotients

D. Choi

doi:10.1007/s11139-006-9007-3

Spaces of modular forms generated by eta-quotients

D. Choi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper, we study the spaces of modular forms on Γ ₀(N) generated by eta-quotients, where the genus of Γ₀(N) is zero or N is a prime. Our results give an answer to a question of Ono (2004, Problem 1.68).

Original language	English
Pages (from-to)	69-77
Number of pages	9
Journal	Ramanujan Journal
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11139-006-9007-3
Publication status	Published - 2007 Aug
Externally published	Yes

Keywords

Dedekind eta function
Modular forms

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-006-9007-3

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title = "Spaces of modular forms generated by eta-quotients",

abstract = "In this paper, we study the spaces of modular forms on Γ 0(N) generated by eta-quotients, where the genus of Γ0(N) is zero or N is a prime. Our results give an answer to a question of Ono (2004, Problem 1.68).",

keywords = "Dedekind eta function, Modular forms",

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year = "2007",

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doi = "10.1007/s11139-006-9007-3",

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AB - In this paper, we study the spaces of modular forms on Γ 0(N) generated by eta-quotients, where the genus of Γ0(N) is zero or N is a prime. Our results give an answer to a question of Ono (2004, Problem 1.68).

KW - Dedekind eta function

KW - Modular forms

UR - https://www.scopus.com/pages/publications/33847402549

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DO - 10.1007/s11139-006-9007-3

M3 - Article

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JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 1

ER -

Spaces of modular forms generated by eta-quotients

Abstract

Keywords

ASJC Scopus subject areas

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