Sever Achimescu, Abhishek Saha
Published 2008-03-26Version 1
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.
Comments: 23 pages
Journal: Journal of Number Theory, Volume 128, Issue 12, December 2008, Pages 3037-3062
The rings of Hilbert modular forms for $\mathbb{Q}(\sqrt{29})$ and $\mathbb{Q}(\sqrt{37})$
Hilbert modular forms and their applications
Equidistribution of signs for Hilbert modular forms of half-integral weight
![QR code for arXiv:0803.3788 [math.NT]](http://oss.arxitics.com/images/favicon.svg)