Bounds on shifted convolution sums for Hecke eigenforms

Asbjørn C. Nordentoft; Yiannis N. Petridis; Morten S. Risager

doi:10.1007/s40993-022-00320-1

Bounds on shifted convolution sums for Hecke eigenforms

Asbjørn C. Nordentoft, Yiannis N. Petridis^*, Morten S. Risager

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

3 Citationer (Scopus)

27 Downloads (Pure)

Abstract

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.

Originalsprog	Engelsk
Artikelnummer	26
Tidsskrift	Research in Number Theory
Vol/bind	8
Udgave nummer	2
Sider (fra-til)	1-20
ISSN	2363-9555
DOI	https://doi.org/10.1007/s40993-022-00320-1
Status	Udgivet - 2022

Bibliografisk note

Funding Information:
The research of Asbjørn C. Nordentoft and Morten S. Risager was supported by the Grant DFF-7014-00060B from Independent Research Fund Denmark.

Publisher Copyright:
© 2022, The Author(s).

Adgang til dokumentet

10.1007/s40993-022-00320-1Licens: CC BY

FulltextForlagets udgivne version, 394 KBLicens: CC BY

Citationsformater

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AU - Petridis, Yiannis N.

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