Multiplicities of representations in spaces of modular forms

This paper shows that for a given irreducible representation \rho of \Gamma /\Gamma _{1}, the two functions dim(M_{k}(\Gamma _{1},\rho )) and dim(S_{k}(\Gamma _{1},\rho )) of k are almost linear functions.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2006-01, Vol.134 (1), p.1-3
Main Author: Hsie, Bin
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Mathematical cusps
Mathematical theorems
Mathematics
Number theory
Sciences and techniques of general use
Citations: Items that this one cites
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Description
Summary:This paper shows that for a given irreducible representation \rho of \Gamma /\Gamma _{1}, the two functions dim(M_{k}(\Gamma _{1},\rho )) and dim(S_{k}(\Gamma _{1},\rho )) of k are almost linear functions.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-05-08289-4