Hecke operators on Hilbert-Siegel theta series

Dan Fretwell; Lynne Walling

doi:10.1142/S179304212150072X

Hecke operators on Hilbert-Siegel theta series

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1965-1996
Nifer y tudalennau	32
Cyfnodolyn	International Journal of Number Theory
Cyfrol	17
Rhif cyhoeddi	9
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1142/S179304212150072X
Statws	Cyhoeddwyd - 1 Hyd 2021
Cyhoeddwyd yn allanol	Ie

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10.1142/S179304212150072XTrwydded: Amhenodol

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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 = "quadratic forms, Theta series, totally real fields",

author = "Dan Fretwell and Lynne Walling",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

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doi = "10.1142/S179304212150072X",

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T1 - Hecke operators on Hilbert-Siegel theta series

AU - Fretwell, Dan

AU - Walling, Lynne

PY - 2021/10/1

Y1 - 2021/10/1

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 - quadratic forms

KW - Theta series

KW - totally real fields

U2 - 10.1142/S179304212150072X

DO - 10.1142/S179304212150072X

M3 - Article

AN - SCOPUS:85104787401

VL - 17

SP - 1965

EP - 1996

JO - International Journal of Number Theory

JF - International Journal of Number Theory

SN - 1793-0421

IS - 9

ER -

Hecke operators on Hilbert-Siegel theta series

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