A relation between multiplicity one and Bocherer's conjecture

2012/08/14 by Abhishek Saha, Saha, Abhishek
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1208.2926

openalex publication_date 2012/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• On the Saito-Kurokawa lifting

Cited by

• Transfer of Siegel cusp forms of degree 2

Related

• Notes on the multiplicity conjecture
• Applications of Arthur's multiplicity formula to Siegel modular forms
• Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
• Some remarks on strong multiplicity one for paramodular forms
• A Böcherer-Type Conjecture for Paramodular Forms