Bounds on shifted convolution sums for Hecke eigenforms

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Shifted convolution sums play a prominent rôle in analytic number theory. Here these sums are considered in the context of holomorphic Hecke eigenforms. We investigate pointwise bounds, mean-square bounds consistent with the optimal conjectural bound, and find asymptotics on average for their variance.

Original languageEnglish
Article number26
JournalResearch in Number Theory
Volume8
Issue number2
Pages (from-to)1-20
ISSN2363-9555
DOIs
Publication statusPublished - 2022

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© 2022, The Author(s).

    Research areas

  • Shifted convolution sums

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