Hilbert modular forms of weight 1/2 and theta functions

Simple item page
dc.creatorAchimescu, Sever
dc.creatorSaha, Abhishek
dc.date2008-03-26
dc.date.accessioned2026-07-07T12:42:30Z
dc.date.available2026-07-07T12:42:30Z
dc.descriptionSerre 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0803.3788
dc.identifierhttp://arxiv.org/abs/0803.3788
dc.identifierJournal of Number Theory, Volume 128, Issue 12, December 2008, Pages 3037-3062
dc.identifierdoi:10.1016/j.jnt.2008.04.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220097
dc.subjectNumber Theory
dc.subject11F27;11F37;11F41
dc.titleHilbert modular forms of weight 1/2 and theta functions
dc.typetext

Files

Collections

arXiv