English

Archimedean zeta integrals on U(n,1)

Representation Theory 2016-01-26 v1

Abstract

For a dual pair of unitary groups with equal size, zeta integrals arising from Rallis inner product formula give the central values of certain automorphic L-functions. In this paper we explicitly calculate archimedean zeta integrals of this type for U(n,1), assuming that the corresponding archimedean component of the automorphic representation is a holomorphic discrete series.

Keywords

Cite

@article{arxiv.1601.06511,
  title  = {Archimedean zeta integrals on U(n,1)},
  author = {Bingchen Lin and Dongwen Liu},
  journal= {arXiv preprint arXiv:1601.06511},
  year   = {2016}
}
R2 v1 2026-06-22T12:35:51.732Z