Translator Disclaimer
1 June 2007 Relating invariant linear form and local epsilon factors via global methods
Dipendra Prasad, Hiroshi Saito
Author Affiliations +
Duke Math. J. 138(2): 233-261 (1 June 2007). DOI: 10.1215/S0012-7094-07-13823-7

Abstract

We use the recent proof of Jacquet's conjecture due to Harris and Kudla [HK] and the Burger-Sarnak principle (see [BS]) to give a proof of the relationship between the existence of trilinear forms on representations of GL2(ku) for a non-Archimedean local field ku and local epsilon factors which was earlier proved only in the odd residue characteristic by this author in [P1, Theorem 1.4]. The method used is very flexible and gives a global proof of a theorem of Saito and Tunnell about characters of GL2 using a theorem of Waldspurger [W, Theorem 2] about period integrals for GL2 and also an extension of the theorem of Saito and Tunnell by this author in [P3, Theorem 1.2] which was earlier proved only in odd residue characteristic. In the appendix to this article, H. Saito gives a local proof of Lemma 4 which plays an important role in the article

Citation

Download Citation

Dipendra Prasad. Hiroshi Saito. "Relating invariant linear form and local epsilon factors via global methods." Duke Math. J. 138 (2) 233 - 261, 1 June 2007. https://doi.org/10.1215/S0012-7094-07-13823-7

Information

Published: 1 June 2007
First available in Project Euclid: 5 June 2007

zbMATH: 1129.22010
MathSciNet: MR2318284
Digital Object Identifier: 10.1215/S0012-7094-07-13823-7

Subjects:
Primary: 22E50
Secondary: 11F70

Rights: Copyright © 2007 Duke University Press

JOURNAL ARTICLE
29 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.138 • No. 2 • 1 June 2007
Back to Top