Algebraicity of special $L$-values attached to Siegel-Jacobi modular forms
Number Theory
2020-05-22 v1
Abstract
In this work we obtain algebraicity results on special -values attached to Siegel-Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of near holomorphy for Siegel-Jacobi modular forms. Some of our results involve also holomorphic projection, which we obtain by using Siegel-Jacobi Poincar\'e series of exponential type.
Keywords
Cite
@article{arxiv.2005.10282,
title = {Algebraicity of special $L$-values attached to Siegel-Jacobi modular forms},
author = {Thanasis Bouganis and Jolanta Marzec},
journal= {arXiv preprint arXiv:2005.10282},
year = {2020}
}
Comments
This article forms a significant extension of the last section of our previous paper arXiv:1706.07287. 41 pages