Eichler integrals for Maass cusp forms of half-integral weight
Number Theory
2015-05-01 v3
Abstract
In this paper, we define and discuss Eichler integrals for Maass cusp forms of half-integral weight on the full modular group. We discuss nearly periodic functions associated to the Eichler integrals, introduce period functions for such Maass cusp forms, and show that the nearly periodic functions and the period functions are closely related. Those functions are extensions of the periodic functions and period functions for Maass cusp forms of weight 0 on the full modular group introduced by Lewis and Zagier.
Keywords
Cite
@article{arxiv.1204.6219,
title = {Eichler integrals for Maass cusp forms of half-integral weight},
author = {Tobias Mühlenbruch and Wissam Raji},
journal= {arXiv preprint arXiv:1204.6219},
year = {2015}
}
Comments
28 pages; several typos and errors are corrected