Harmonic Maass forms and periods

Details Harmonic Maass forms and periods Harmonic Maass forms and periods

2011-11-07

arxiv.org/abs/1111.1508v1

Mathematics

Number Theory

22 pages

Scientific paper

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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