Harmonic Maass forms and periods
Number Theory
2011-11-08 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1111.1508,
title = {Harmonic Maass forms and periods},
author = {Jan Hendrik Bruinier},
journal= {arXiv preprint arXiv:1111.1508},
year = {2011}
}
Comments
22 pages