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research article
Rankin-Selberg coefficients in large arithmetic progressions
June 9, 2023
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.
Type
research article
Web of Science ID
WOS:001003280800001
Authors
Publication date
2023-06-09
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Published in
Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
June 19, 2023
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