Moments of quadratic Dirichlet L-functions over function fields

Peng Gao; Liangyi Zhao

doi:10.1016/j.ffa.2022.102113

Moments of quadratic Dirichlet L-functions over function fields

Peng Gao
, Liangyi Zhao^*

^*Corresponding author for this work

School of Mathematical Sciences

School of Mathematics and Statistics
University of New South Wales

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we establish the expected order of magnitude of the kth-moment of quadratic Dirichlet L-functions associated to hyperelliptic curves of genus g as well as of prime moduli over a fixed finite field F_q for all real k≥0.

Original language	English
Article number	102113
Journal	Finite Fields and their Applications
Volume	85
DOIs	https://doi.org/10.1016/j.ffa.2022.102113
State	Published - Jan 2023

Keywords

Function fields
Lower bounds
Moments
Order of magnitude
Prime moduli
Quadratic Dirichlet L-functions
Upper bounds

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10.1016/j.ffa.2022.102113

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title = "Moments of quadratic Dirichlet L-functions over function fields",

abstract = "In this paper, we establish the expected order of magnitude of the kth-moment of quadratic Dirichlet L-functions associated to hyperelliptic curves of genus g as well as of prime moduli over a fixed finite field Fq for all real k≥0.",

keywords = "Function fields, Lower bounds, Moments, Order of magnitude, Prime moduli, Quadratic Dirichlet L-functions, Upper bounds",

author = "Peng Gao and Liangyi Zhao",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",

year = "2023",

month = jan,

doi = "10.1016/j.ffa.2022.102113",

language = "英语",

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T1 - Moments of quadratic Dirichlet L-functions over function fields

AU - Gao, Peng

AU - Zhao, Liangyi

PY - 2023/1

Y1 - 2023/1

N2 - In this paper, we establish the expected order of magnitude of the kth-moment of quadratic Dirichlet L-functions associated to hyperelliptic curves of genus g as well as of prime moduli over a fixed finite field Fq for all real k≥0.

AB - In this paper, we establish the expected order of magnitude of the kth-moment of quadratic Dirichlet L-functions associated to hyperelliptic curves of genus g as well as of prime moduli over a fixed finite field Fq for all real k≥0.

KW - Function fields

KW - Lower bounds

KW - Moments

KW - Order of magnitude

KW - Prime moduli

KW - Quadratic Dirichlet L-functions

KW - Upper bounds

UR - https://www.scopus.com/pages/publications/85139873394

U2 - 10.1016/j.ffa.2022.102113

DO - 10.1016/j.ffa.2022.102113

M3 - 文章

AN - SCOPUS:85139873394

SN - 1071-5797

VL - 85

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

M1 - 102113

ER -

Moments of quadratic Dirichlet L-functions over function fields

Abstract

Keywords

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