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

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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 GLν(F). In this paper, we give an explicit formula for Whittaker functions associated to newforms on the diagonal matrices in GLν(F).

Original languageEnglish
Pages (from-to)17-24
Number of pages8
JournalJournal of the Mathematical Society of Japan
Volume66
Issue number1
DOIs
Publication statusPublished - 2014
Externally publishedYes

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Keywords

  • Local newform
  • Whittaker function

ASJC Scopus subject areas

  • Mathematics(all)

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