Local L and epsilon factors in Hecke eigenvalues

Satoshi Kondo,Seidai Yasuda

doi:10.1016/j.jnt.2012.03.002

Local L and epsilon factors in Hecke eigenvalues

Satoshi Kondo, Seidai Yasuda

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https://doi.org/10.1016/j.jnt.2012.03.002

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Journal: Journal of number theory	Publication Date: May 2, 2012
Citations: 3	License type: publisher-specific-oa

Affiliation: The University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, Kyoto University

#Non-archimedean Local Field #Epsilon Factor + Show 8 more

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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.

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