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Title: On Hecke eigenvalues at Piatetski-Shapiro primes
Authors: Baier, Stephan
Zhao, Liangyi
Keywords: DRNTU::Science::Mathematics::Number theory
Issue Date: 2010
Source: Baier, S., & Zhao, L. (2010). On Hecke Eigenvalues at Piatetski-Shapiro Primes. Journal of the London Mathematical Society, 81(1), 175-201.
Series/Report no.: Journal of the London mathematical society
Abstract: Let λ(n) be the normalized nth Fourier coefficient of a holomorphic cusp form for the full modular group. We show that, for some constant C > 0 depending on the cusp form and every fixed c in the range 1 < c < 8/7, the mean value of λ(p) is as p runs over all (Piatetski-Shapiro) primes of the form [nc] with n ∈ ℕ and n ≤ N.
Rights: © 2009 London Mathematical Society. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of the London mathematical society, London Mathematical Society. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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