Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594987 | Journal of Number Theory | 2008 | 26 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory