Multiplicities of representations in spaces of modular forms

Bin Yong Hsie

doi:10.1090/S0002-9939-05-08289-4

Multiplicities of representations in spaces of modular forms

Bin Yong Hsie^*

^*Corresponding author for this work

Peking University

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

Abstract

This paper shows that for a given irreducible representation ρ of Γ/Γ₁, the two functions dim(M_k(Γ ₁,ρ)) and dim(S_k(Γ₁,ρ)) of k are almost linear functions.

Original language	English
Pages (from-to)	1-3
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-05-08289-4
State	Published - Jan 2006
Externally published	Yes

Keywords

Cusp form
Modular form

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10.1090/S0002-9939-05-08289-4

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title = "Multiplicities of representations in spaces of modular forms",

abstract = "This paper shows that for a given irreducible representation ρ of Γ/Γ1, the two functions dim(Mk(Γ 1,ρ)) and dim(Sk(Γ1,ρ)) of k are almost linear functions.",

keywords = "Cusp form, Modular form",

author = "Hsie, \{Bin Yong\}",

year = "2006",

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doi = "10.1090/S0002-9939-05-08289-4",

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AB - This paper shows that for a given irreducible representation ρ of Γ/Γ1, the two functions dim(Mk(Γ 1,ρ)) and dim(Sk(Γ1,ρ)) of k are almost linear functions.

KW - Cusp form

KW - Modular form

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Multiplicities of representations in spaces of modular forms

Abstract

Keywords

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