Local newforms and formal exterior square l-functions

Michitaka Miyauchi; Takuya Yamauchi

doi:10.1142/S179304211350070X

Local newforms and formal exterior square l-functions

Michitaka Miyauchi, Takuya Yamauchi

Research output: Contribution to journal › Article

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 GL_n(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 language	English
Pages (from-to)	1995-2010
Number of pages	16
Journal	International Journal of Number Theory
Volume	9
Issue number	8
DOIs	https://doi.org/10.1142/S179304211350070X
Publication status	Published - Dec 1 2013
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S179304211350070X

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Miyauchi, M., & Yamauchi, T. (2013). Local newforms and formal exterior square l-functions. International Journal of Number Theory, 9(8), 1995-2010. https://doi.org/10.1142/S179304211350070X

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