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The L-Functions L(s, Symm(r), π)

Published online by Cambridge University Press:  20 November 2018

C. J. Moreno  and
F. Shahidi
C. J. Moreno
Affiliation:
Department of Mathematics, University of IllinoisUrbana, Illinois 61801, U.S.A.
F. Shahidi
Affiliation:
Department of Mathematics, Purdue UniversityWest Lafayette, Indiana 47907, U.S.A.
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Abstract

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The exact form for the gamma factor for the L-function corresponding to the m-th symmetric power of a cuspidal automorphic representation of PGL(2) is given. This information is used to obtain, via a theorem of Landau, bounds for the eigenvalues of Hecke operators.

Keywords

10D4012B40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 4 , 01 December 1985 , pp. 405 - 410
Copyright
Copyright © Canadian Mathematical Society 1985

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