Bessel periods and anticyclotomic $p$-adic spinor $L$-functions

Abstract

We construct the anticyclotomic $p$-adic $L$-function that interpolates a square root of central values of twisted spinor $L$-functions of a quadratic base change of a Siegel cusp form of genus $2$ with respect to a paramodular group of square-free level, assuming the Böcherer conjecture for the central $L$-values with anticyclotomic twists.

Some references are updated

References in corpus (3)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Refined global Gross-Prasad conjecture on special Bessel periods and Boecherer's conjecture
• Bessel models for lowest weight representations of GSp(4,R)