English

Integral representation for L-functions for GSp(4) x GL(2), II

Number Theory 2009-08-13 v1

Abstract

Based on Furusawa's theory, we present an integral representation for the L-function L(s,\pi \times \tau), where \pi is a cuspidal automorphic representation on GSp(4) related to a holomorphic Siegel modular form, and where \tau is an arbitrary cuspidal automorphic representation on GL(2). As an application, a special value result for this L-function in the spirit of Deligne's conjecture is proved.

Keywords

Cite

@article{arxiv.0908.1611,
  title  = {Integral representation for L-functions for GSp(4) x GL(2), II},
  author = {Ameya Pitale and Ralf Schmidt},
  journal= {arXiv preprint arXiv:0908.1611},
  year   = {2009}
}

Comments

39 pages

R2 v1 2026-06-21T13:34:37.387Z