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Additive twists of Fourier coefficients of $ GL(3)$ Maass forms


Author: Xiannan Li
Journal: Proc. Amer. Math. Soc. 142 (2014), 1825-1836
MSC (2010): Primary 11F03, 11M41
DOI: https://doi.org/10.1090/S0002-9939-2014-11909-5
Published electronically: February 24, 2014
MathSciNet review: 3182004
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Abstract: We prove cancellation in a sum of Fourier coefficents of a $ GL(3)$ form $ F$ twisted by additive characters, uniformly in the form $ F$. Previously, this type of result was available only when $ F$ is a symmetric square lift.


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Additional Information

Xiannan Li
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Address at time of publication: Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom

DOI: https://doi.org/10.1090/S0002-9939-2014-11909-5
Received by editor(s): February 21, 2012
Received by editor(s) in revised form: June 26, 2012
Published electronically: February 24, 2014
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2014 American Mathematical Society

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