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Title:
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On Hecke eigenvalues at Piatetski-Shapiro primes.
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Author:
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Baier, Stephan.; Zhao, Liangyi.
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Copyright year:
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2010 |
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Abstract:
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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. |
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Subject:
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DRNTU::Science::Mathematics::Number theory. |
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Type:
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Journal Paper |
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Series/ Journal Title:
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Journal of the London mathematical society |
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School:
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School of Physical and Mathematical Sciences |
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Rights:
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© 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]. |
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Version:
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Accepted version |
