Open Access
January, 2014 Whittaker functions associated to newforms for $GL(n)$ over $p$-adic fields
Michitaka MIYAUCHI
J. Math. Soc. Japan 66(1): 17-24 (January, 2014). DOI: 10.2969/jmsj/06610017

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

Citation

Download Citation

Michitaka MIYAUCHI. "Whittaker functions associated to newforms for $GL(n)$ over $p$-adic fields." J. Math. Soc. Japan 66 (1) 17 - 24, January, 2014. https://doi.org/10.2969/jmsj/06610017

Information

Published: January, 2014
First available in Project Euclid: 24 January 2014

zbMATH: 1286.22014
MathSciNet: MR3161390
Digital Object Identifier: 10.2969/jmsj/06610017

Subjects:
Primary: 22E50
Secondary: 22E35

Keywords: local newform , Whittaker function

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 1 • January, 2014
Back to Top