Multiplicities of representations in spaces of modular forms

Mathematics – Number Theory

Scientific paper

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3 pages

Scientific paper

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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