Bounds on shifted convolution sums for Hecke eigenforms

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Bounds on shifted convolution sums for Hecke eigenforms. / Nordentoft, Asbjørn C.; Petridis, Yiannis N.; Risager, Morten S.

In: Research in Number Theory, Vol. 8, No. 2, 26, 2022, p. 1-20.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Nordentoft, AC, Petridis, YN & Risager, MS 2022, 'Bounds on shifted convolution sums for Hecke eigenforms', Research in Number Theory, vol. 8, no. 2, 26, pp. 1-20. https://doi.org/10.1007/s40993-022-00320-1

APA

Nordentoft, A. C., Petridis, Y. N., & Risager, M. S. (2022). Bounds on shifted convolution sums for Hecke eigenforms. Research in Number Theory, 8(2), 1-20. [26]. https://doi.org/10.1007/s40993-022-00320-1

Vancouver

Nordentoft AC, Petridis YN, Risager MS. Bounds on shifted convolution sums for Hecke eigenforms. Research in Number Theory. 2022;8(2):1-20. 26. https://doi.org/10.1007/s40993-022-00320-1

Author

Nordentoft, Asbjørn C. ; Petridis, Yiannis N. ; Risager, Morten S. / Bounds on shifted convolution sums for Hecke eigenforms. In: Research in Number Theory. 2022 ; Vol. 8, No. 2. pp. 1-20.

Bibtex

@article{685bde608ac14c9e8728537238580687,
title = "Bounds on shifted convolution sums for Hecke eigenforms",
abstract = "Shifted convolution sums play a prominent r{\^o}le 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.",
keywords = "Shifted convolution sums",
author = "Nordentoft, {Asbj{\o}rn C.} and Petridis, {Yiannis N.} and Risager, {Morten S.}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2022",
doi = "10.1007/s40993-022-00320-1",
language = "English",
volume = "8",
pages = "1--20",
journal = "Research in Number Theory",
issn = "2363-9555",
publisher = "Springer",
number = "2",

}

RIS

TY - JOUR

T1 - Bounds on shifted convolution sums for Hecke eigenforms

AU - Nordentoft, Asbjørn C.

AU - Petridis, Yiannis N.

AU - Risager, Morten S.

N1 - Publisher Copyright: © 2022, The Author(s).

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Shifted convolution sums

UR - http://www.scopus.com/inward/record.url?scp=85127938489&partnerID=8YFLogxK

U2 - 10.1007/s40993-022-00320-1

DO - 10.1007/s40993-022-00320-1

M3 - Journal article

AN - SCOPUS:85127938489

VL - 8

SP - 1

EP - 20

JO - Research in Number Theory

JF - Research in Number Theory

SN - 2363-9555

IS - 2

M1 - 26

ER -

ID: 310505840