A local converse theorem for U(1,1)-Reference-Cited by-同舟云学术

A local converse theorem for U(1,1)

Published:2017-08-02 Issue:08 Volume:13 Page:1931-1981
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Zhang Qing¹^ORCID

Affiliation:

1. Department of Mathematics, The Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, OH, 43210-1174, USA

Abstract

In this paper, we define a [Formula: see text]-factor for generic representations of [Formula: see text] and prove a local converse theorem for [Formula: see text] using the [Formula: see text]-factor we defined. We also give a new proof of the local converse theorem for [Formula: see text] using a [Formula: see text]-factor of [Formula: see text] type which was originally defined by Jacquet in [Automorphic Forms on [Formula: see text], Part 2, Springer Lecture Notes in Mathematics, Vol. 278 (Springer, 1972)].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042117501056

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