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

DOI10.4171/JEMS/872zbMath1443.11064arXiv1602.00780OpenAlexW2962912503MaRDI QIDQ2418886

Valentin Blomer

Publication date: 29 May 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00780

zbMATH Keywords

Siegel modular formsPetersson formulamoments of \(L\)-functionsnon-vanishingspinor \(L\)-functionBöcherer conjecture

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

A symplectic restriction problem ⋮ On the distribution of Satake parameters for Siegel modular forms ⋮ Linear relations of Siegel Poincaré series and non-vanishing of the central values of spinor \(L\)-functions ⋮ Refined global Gross-Prasad conjecture on special Bessel periods and Böcherer's conjecture ⋮ The Relative Trace Formula in Analytic Number Theory