Multiplicity one for certain paramodular forms of genus two

2016/04/26 by Mirko Rösner, Rösner, Mirko, Rainer Weissauer +1
Mathematics · #11F46 #11F55 #11F67 #11F70 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1604.07801

openalex publication_date 2016/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that certain paramodular cuspidal automorphic irreducible representations of GSp(4,\mathbbA_ℚ), which are not CAP, are globally generic. This implies a multiplicity one theorem for paramodular cuspidal automorphic representations. Our proof relies on a reasonable hypothesis concerning the non-vanishing of central values of automorphic L-series.

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