Rankin-Selberg coefficients in large arithmetic progressions
2023
Abstract
Let (?(f) (n))(n=1) be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f. We prove that, for any fixed ? > 0, under the Ramanujan-Petersson conjecture for GL(2) Maass forms, the Rankin-Selberg coefficients (?(f) (n)(2))(n=1) admit a level of distribution ? = 2/5 + 1/260 - ? in arithmetic progressions.
Details
Title
Rankin-Selberg coefficients in large arithmetic progressions
Author(s)
Kowalski, Emmanuel ; Lin, Yongxiao ; Michel, Philippe
Published in
Science China-Mathematics
Date
2023-06-09
Publisher
Beijing, SCIENCE PRESS
ISSN
1674-7283
1869-1862
1869-1862
Keywords
Other identifier(s)
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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
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2023-06-19