English

Multiplicity one for certain paramodular forms of genus two

Representation Theory 2017-01-23 v2

Abstract

We show that certain paramodular cuspidal automorphic irreducible representations of GSp(4,AQ)\mathrm{GSp}(4,\mathbb{A}_\mathbb{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 LL-series.

Keywords

Cite

@article{arxiv.1604.07801,
  title  = {Multiplicity one for certain paramodular forms of genus two},
  author = {Mirko Rösner and Rainer Weissauer},
  journal= {arXiv preprint arXiv:1604.07801},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T13:41:34.777Z