Spectral summation formula for GSp(4) and moments of spinor L-functions

Abstract

We compute the first and second moment of the spinor L-function at the central point of Siegel modular forms of large weight k with power saving error term and give applications to non-vanishing.

References in corpus (2)

• Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
• On the subconvexity problem for L-functions on GL(3)