Explicit inner product formulas and Bessel period formulas for HST lifts
Number Theory
2023-02-22 v1
Abstract
We explicitly give an inner product formula and a Bessel period formula for theta series on GSp(4), which was studied by Harris, Soudry and Taylor. As a consequence, we prove a non-vanishing of the theta series of small weights and we give a criterion for the non-vanishing of the theta series modulo a prime.
Keywords
Cite
@article{arxiv.1810.02603,
title = {Explicit inner product formulas and Bessel period formulas for HST lifts},
author = {Kenichi Namikawa},
journal= {arXiv preprint arXiv:1810.02603},
year = {2023}
}