On Hecke eigenvalues at Piatetski-Shapiro primes

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On Hecke eigenvalues at Piatetski-Shapiro primes

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Title: On Hecke eigenvalues at Piatetski-Shapiro primes
Author: Baier, Stephan; Zhao, Liangyi
Copyright year: 2010
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.
Subject: DRNTU::Science::Mathematics::Number theory
Type: Journal Paper
Series/ Journal Title: Journal of the London mathematical society
School: School of Physical and Mathematical Sciences
Rights: © XXXX [Publisher] This is the author created version of a work that has been peer reviewed and accepted for publication by [Journal Title], [Publisher]. 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: [Article URL/DOI].
Version: Accepted version

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