On an analogue of the Ichino–Ikeda conjecture for Whittaker coefficients on the metaplectic group

Erez Lapid, Zhengyu Mao

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In previous papers we formulated an analogue of the Ichino–Ikeda conjectures for Whittaker–Fourier coefficients of automorphic forms on quasisplit classical groups and the metaplectic group of arbitrary rank. In the latter case we reduced the conjecture to a local identity. In this paper we prove the local identity in the p-adic case, and hence the global conjecture under simplifying conditions at the archimedean places.

Original languageEnglish (US)
Pages (from-to)713-765
Number of pages53
JournalAlgebra and Number Theory
Volume11
Issue number3
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Automorphic forms
  • Metaplectic group
  • Whittaker coefficients

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