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

Michitaka Miyauchi

doi:10.2969/jmsj/06610017

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

Michitaka Miyauchi

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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

Original language	English
Pages (from-to)	17-24
Number of pages	8
Journal	Journal of the Mathematical Society of Japan
Volume	66
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/06610017
Publication status	Published - 2014
Externally published	Yes

Keywords

Local newform
Whittaker function

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06610017

Cite this

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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).",

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KW - Whittaker function

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

Abstract

Keywords

ASJC Scopus subject areas

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