English

Whittaker functions associated to newforms for GL(n) over p-adic fields

Representation Theory 2012-03-20 v2 Number Theory

Abstract

Let F be a non-archimedean local field of characteristic zero. Jacquet, Piatetski-Shapiro and Shalika introduced the notion of newforms for irreducible generic representations of GL_n(F). In this paper, we give an explicit formula for Whittaker functions associated to newforms on the diagonal matrices in GL_n(F).

Keywords

Cite

@article{arxiv.1201.3507,
  title  = {Whittaker functions associated to newforms for GL(n) over p-adic fields},
  author = {Michitaka Miyauchi},
  journal= {arXiv preprint arXiv:1201.3507},
  year   = {2012}
}

Comments

6 pages, minor changes from first version

R2 v1 2026-06-21T20:05:37.549Z