Local <i>L</i> and epsilon factors in Hecke eigenvalues

KONDO, SATOSHI; Yasuda, Seidai

doi:10.1016/j.jnt.2012.03.002

Local <i>L</i> and epsilon factors in Hecke eigenvalues

KONDO S., Yasuda S.

JOURNAL OF NUMBER THEORY, vol.132, no.9, pp.1910-1948, 2012 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 132 Issue: 9
Publication Date: 2012
Doi Number: 10.1016/j.jnt.2012.03.002
Journal Name: JOURNAL OF NUMBER THEORY
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1910-1948
Middle East Technical University Northern Cyprus Campus Affiliated: No

Abstract

Formulas (Theorems 3.5 and 4.1) which express the local L-factor and the local epsilon factor of an irreducible admissible representation of GL(d) over a non-archimedean local field in terms of the eigenvalues of some explicitly given Hecke operators are derived. (C) 2012 Elsevier Inc. All rights reserved.