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Multiplicities of representations in spaces of modular forms

BinYong Hsie
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Abstract

This paper shows that for a given irreducible representation $ρ$ of $Γ/Γ_1$, the two functions dim($M_k(Γ_1,ρ)$) and dim($S_k(Γ_1,ρ)$) of $k$ are almost linear functions.

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BinYong Hsie. 2005-04-16. Multiplicities of representations in spaces of modular forms. https://arxiv.org/abs/math/0503215

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