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Whittaker–Fourier Coefficients of Metaplectic Eisenstein Series

Published online by Cambridge University Press:  04 December 2007

William Banks ,
Daniel Bump  and
Daniel Lieman
William Banks
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A.
Daniel Bump
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94305-2125, U.S.A.
Daniel Lieman
Affiliation:
Department of Mathematics, University of Georgia, Athens, GA 30602, U.S.A. e-mail: dliemanmath.uga.edu
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Abstract

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It is shown that the Fourier–Whittaker coefficients of Eisenstein series on the n-fold cover of GL(n) are L-functions, improving prior results of T. Suzuki.

Keywords

Eisenstein seriesFourier–Whittaker coefficientsMaass phenomenon
Type
Research Article
Information
Compositio Mathematica , Volume 135 , Issue 2 , January 2003 , pp. 153 - 178
Copyright
© 2003 Kluwer Academic Publishers