The fifth moment of Hecke L -functions in the weight aspect

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Abstract

We prove an upper bound for the fifth moment of Hecke L-functions associated to holomorphic Hecke cusp forms of full level and weight k in a dyadic interval K ≤ k ≤2K, as K †'. The bound is sharp on Selberg's eigenvalue conjecture.

Original languageEnglish
JournalMathematical Proceedings of the Cambridge Philosophical Society
DOIs
Publication statusAccepted/In press - 1 Jan 2018

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Cusp Form
L-function
Upper bound
Moment
Eigenvalue
Interval

Keywords

  • 11F03 (Primary)
  • 11M99 (Secondary)
  • 2010 Mathematics Subject Classification:

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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abstract = "We prove an upper bound for the fifth moment of Hecke L-functions associated to holomorphic Hecke cusp forms of full level and weight k in a dyadic interval K ≤ k ≤2K, as K †'. The bound is sharp on Selberg's eigenvalue conjecture.",
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KW - 11M99 (Secondary)

KW - 2010 Mathematics Subject Classification:

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