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On the subconvexity problem for GL(3) × GL(2) L -functions

On the subconvexity problem for GL(3) × GL(2) L -functions Abstract Fix g a self-dual Hecke–Maass form for SL 3 (ℤ). Let f be a holomorphic newform of prime level q and fixed weight. Conditional on a lower bound for a short sum of squares of Fourier coefficients of f , we prove a subconvexity bound in the q aspect for L ( s , g × f ) at the central point. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

On the subconvexity problem for GL(3) × GL(2) L -functions

Forum Mathematicum , Volume 27 (2) – Mar 1, 2015

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References (25)

Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2012-0033
Publisher site
See Article on Publisher Site

Abstract

Abstract Fix g a self-dual Hecke–Maass form for SL 3 (ℤ). Let f be a holomorphic newform of prime level q and fixed weight. Conditional on a lower bound for a short sum of squares of Fourier coefficients of f , we prove a subconvexity bound in the q aspect for L ( s , g × f ) at the central point.

Journal

Forum Mathematicumde Gruyter

Published: Mar 1, 2015

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