Explicit inner product formulas and Bessel period formulas for HST lifts

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.

References in corpus (2)

• A proof of the refined Gan--Gross--Prasad conjecture for non-endoscopic Yoshida lifts
• On the Bloch-Kato conjecture for the Asai L-function

Cited by in corpus (1)

• A construction of $p$-adic Asai $L$-functions for ${\mathrm{GL}}_2$ over CM fields