A twisted Motohashi formula and Weyl-subconvexity for -functions of weight two cusp forms
Petrow, Ian N.
2015

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Abstract

We derive a Motohashi-type formula for the cubic moment of central values of -functions of level cusp forms twisted by quadratic characters of conductor , previously studied by Conrey and Iwaniec and Young. Corollaries of this formula include Weyl-subconvex bounds for -functions of weight two cusp forms twisted by quadratic characters, and estimates towards the Ramanujan-Petersson conjecture for Fourier coefficients of weight 3/2 cusp forms.

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Title A twisted Motohashi formula and Weyl-subconvexity for -functions of weight two cusp forms
Author(s) Petrow, Ian N.
Published in Mathematische Annalen
Pagination 42
Volume 363
Issue 1-2
Pages 175-216
Date 2015
Publisher Heidelberg, Springer Verlag
ISSN 0025-5831
DOI https://doi.org/10.1007/s00208-014-1166-8
Other identifier(s) View record in Web of Science
Laboratories TAN
Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date 2015-12-02

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