Local newforms and formal exterior square l-functions

Michitaka Miyauchi, Takuya Yamauchi

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations π of GLn(F). In this paper, we show that the Jacquet-Shalika integral attains a certain L-function, the so-called formal exterior square L-function, when the Whittaker function is associated to a newform for π. By considerations on the Galois side, formal exterior square L-functions are equal to exterior square L-functions for some principal series representations. Local newform, exterior square L-function, Rankin-Selberg method, zeta integral 22E50, 22E35

Original languageEnglish
Pages (from-to)1995-2010
Number of pages16
JournalInternational Journal of Number Theory
Volume9
Issue number8
DOIs
Publication statusPublished - Dec 2013
Externally publishedYes

Fingerprint

L-function
Whittaker Function
Series Representation
Galois
Local Field
Zero

Keywords

  • exterior square L-function
  • Local newform
  • Rankin-Selberg method
  • zeta integral

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Local newforms and formal exterior square l-functions. / Miyauchi, Michitaka; Yamauchi, Takuya.

In: International Journal of Number Theory, Vol. 9, No. 8, 12.2013, p. 1995-2010.

Research output: Contribution to journalArticle

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