Hecke eigenvalue equidistribution over the newspaces with nebentypus

Fix a prime p, and let [Formula: see text] denote the normalized pth Hecke operator over the newspace with nebentypus [Formula: see text]. In this paper, we determine the distribution of the eigenvalues of [Formula: see text] as [Formula: see text].

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Publication Details

Journal
International Journal of Number Theory
Published
2025-12-11
DOI
https://doi.org/10.1142/s1793042126500430
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Hecke eigenvalue equidistribution over the newspaces with nebentypus

Erick Ross
International Journal of Number Theory
Analytic Number Theory Research
article

Hecke eigenvalue equidistribution over the newspaces with nebentypus

Erick Ross
article en

Abstract

Fix a prime p, and let [Formula: see text] denote the normalized pth Hecke operator over the newspace with nebentypus [Formula: see text]. In this paper, we determine the distribution of the eigenvalues of [Formula: see text] as [Formula: see text].

International Journal of Number TheoryVol. 22(04)
Clemson University (US)
Openalex Percentile: Top 54%
Analytic Number Theory Research
DOISourceOpenAlex
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Hecke eigenvalue equidistribution over the newspaces with nebentypus — Erick Ross · International Journal of Number Theory (2025) | TGRS Research Map | TGRS