A relation between multiplicity one and Bocherer's conjecture

Abstract

We show that a weak form of the generalized Bocherer's conjecture implies multiplicity one for Siegel cusp forms of degree 2.

arXiv comment5 pages, version after incorporating referee's comments; to appear in the Ramanujan Journal

References in corpus (4)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Local spectral equidistribution for Siegel modular forms and applications
• Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions
• Irreducibility Criteria for Local and Global Representations

Cited by in corpus (1)

• Transfer of Siegel cusp forms of degree 2