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Hecke operators on Hilbert-Siegel theta series

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Hecke operators on Hilbert-Siegel theta series. / Fretwell, Dan; Walling, Lynne.
In: International Journal of Number Theory, Vol. 17, No. 9, 04.10.2021, p. 1965-1996.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Fretwell, D & Walling, L 2021, 'Hecke operators on Hilbert-Siegel theta series', International Journal of Number Theory, vol. 17, no. 9, pp. 1965-1996. https://doi.org/10.1142/S179304212150072X

APA

Fretwell, D., & Walling, L. (2021). Hecke operators on Hilbert-Siegel theta series. International Journal of Number Theory, 17(9), 1965-1996. https://doi.org/10.1142/S179304212150072X

Vancouver

Fretwell D, Walling L. Hecke operators on Hilbert-Siegel theta series. International Journal of Number Theory. 2021 Oct 4;17(9):1965-1996. Epub 2021 Apr 20. doi: 10.1142/S179304212150072X

Author

Fretwell, Dan ; Walling, Lynne. / Hecke operators on Hilbert-Siegel theta series. In: International Journal of Number Theory. 2021 ; Vol. 17, No. 9. pp. 1965-1996.

Bibtex

@article{7ed966d9a54941d48bc123ce220eb253,
title = "Hecke operators on Hilbert-Siegel theta series",
abstract = "We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that the average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.",
keywords = "Theta series, quadratic forms, totally real fields",
author = "Dan Fretwell and Lynne Walling",
year = "2021",
month = oct,
day = "4",
doi = "10.1142/S179304212150072X",
language = "English",
volume = "17",
pages = "1965--1996",
journal = "International Journal of Number Theory",
number = "9",

}

RIS

TY - JOUR

T1 - Hecke operators on Hilbert-Siegel theta series

AU - Fretwell, Dan

AU - Walling, Lynne

PY - 2021/10/4

Y1 - 2021/10/4

N2 - We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that the average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.

AB - We consider the action of Hecke-type operators on Hilbert-Siegel theta series attached to lattices of even rank. We show that the average Hilbert-Siegel theta series are eigenforms for these operators, and we explicitly compute the eigenvalues.

KW - Theta series

KW - quadratic forms

KW - totally real fields

U2 - 10.1142/S179304212150072X

DO - 10.1142/S179304212150072X

M3 - Journal article

VL - 17

SP - 1965

EP - 1996

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 9

ER -