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On Hecke eigenvalues at Piatetski-Shapiro primes.

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On Hecke eigenvalues at Piatetski-Shapiro primes.

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dc.contributor.author Baier, Stephan.
dc.contributor.author Zhao, Liangyi.
dc.date.accessioned 2011-09-15T03:41:27Z
dc.date.available 2011-09-15T03:41:27Z
dc.date.copyright 2010
dc.date.issued 2011-09-15
dc.identifier.citation Baier, S., & Zhao, L. (2010). On Hecke Eigenvalues at Piatetski-Shapiro Primes. Journal of the London Mathematical Society, 81(1), 175-201.
dc.identifier.uri http://hdl.handle.net/10220/7064
dc.description.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.
dc.format.extent 24 p.
dc.language.iso en
dc.relation.ispartofseries Journal of the London mathematical society
dc.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].
dc.subject DRNTU::Science::Mathematics::Number theory.
dc.title On Hecke eigenvalues at Piatetski-Shapiro primes.
dc.type Journal Paper
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1112/jlms/jdp064
dc.description.version Accepted version
dc.identifier.rims 148079

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