Variations of Voros–Li Coefficients on Function Fields

In this paper, we define the discretized Voros–Li coefficients associated to the zeta function on function fields of genus 𝑔 over a finite fields 𝔽 𝑞 . Furthermore, we give a finite sum representation, an integral formula and an asymptotic formula for these coefficients.

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Publication Details

Journal
Mathematica Pannonica
Published
2024-12-10
DOI
https://doi.org/10.1556/314.2024.00017
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Variations of Voros–Li Coefficients on Function Fields

Jawher Khmiri
Mathematica Pannonica
Analytic Number Theory Research
article

Variations of Voros–Li Coefficients on Function Fields

Jawher Khmiri
article en

Abstract

In this paper, we define the discretized Voros–Li coefficients associated to the zeta function on function fields of genus 𝑔 over a finite fields 𝔽 𝑞 . Furthermore, we give a finite sum representation, an integral formula and an asymptotic formula for these coefficients.

Mathematica PannonicaVol. 30_NS4(2)
University of Monastir (TN)
Openalex Percentile: Top 59%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Variations of Voros–Li Coefficients on Function Fields — Jawher Khmiri · Mathematica Pannonica (2024) | TGRS Research Map | TGRS