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arXiv · 1111.1508

Harmonic Maass forms and periods

Jan Hendrik Bruinier
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Abstract

According to Waldspurger's theorem, the coefficients of half-integral weight eigenforms are given by central critical values of twisted Hecke L-functions, and therefore by periods. Here we prove that the coefficients of weight 1/2 harmonic Maass forms are determined by periods of algebraic differentials of the third kind on modular and elliptic curves.

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Jan Hendrik Bruinier. 2011-11-07. Harmonic Maass forms and periods. https://arxiv.org/abs/1111.1508

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