English

On the degree five L-function for GSp(4)

Number Theory 2012-01-30 v2

Abstract

I give a new integral representation for the degree five (standard) L-function for automorphic representations of GSp(4) that is a refinement of integral representation of Piatetski-Shapiro and Rallis. The new integral representation unfolds to produce the Bessel model for GSp(4) which is unique. The local unramified calculation uses an explicit formula for the Bessel model and differs completely from Piatetski-Shapiro and Rallis.

Keywords

Cite

@article{arxiv.1201.2783,
  title  = {On the degree five L-function for GSp(4)},
  author = {Daniel File},
  journal= {arXiv preprint arXiv:1201.2783},
  year   = {2012}
}

Comments

28 pages

R2 v1 2026-06-21T20:04:09.175Z