Hilbert modular forms of weight 1/2 and theta functions
Number Theory
2009-02-18 v1
Abstract
Serre and Stark found a basis for the space of modular forms of weight 1/2 in terms of theta series. In this paper, we generalize their result - under certain mild restrictions on the level and character - to the case of weight 1/2 Hilbert modular forms over a totally real field of narrow class number 1. The methods broadly follow those of Serre-Stark; however we are forced to overcome technical difficulties which arise when we move out of Q.
Cite
@article{arxiv.0803.3788,
title = {Hilbert modular forms of weight 1/2 and theta functions},
author = {Sever Achimescu and Abhishek Saha},
journal= {arXiv preprint arXiv:0803.3788},
year = {2009}
}
Comments
23 pages