2007/07/22 by Jae-Hyun Yang, Yang, Jae-Hyun
Mathematics · #11F27 (Primary) #11F37 #11F50 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F27 #msc:11F37 #msc:11F50
paper · pdf · doi:10.48550/arxiv.0707.3276
Added the detailed proof ; added 4 more references ; Removal of Remark 2.3
arxiv created 2008/09/06 · arxiv updated 2009/12/01
In this short paper, we find the transformation formula for the theta series under the action of the Jacobi modular group on the Siegel-Jacobi space. This formula generalizes the formula (5.1) obtained by Mumford in his book[p.189, Tata Lectures on Theta I (1983), Birkhauser].