Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields

H. M. Bui; Alexandra Florea

doi:10.1112/plms.12123

Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields

H. M. Bui
, Alexandra Florea

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

14 Citations (Scopus)

Abstract

We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L–functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L–functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.

Original language	English
Pages (from-to)	65-99
Number of pages	35
Journal	Proceedings of the London Mathematical Society
Volume	117
Issue number	1
Early online date	28 Mar 2018
DOIs	https://doi.org/10.1112/plms.12123
Publication status	Published - 1 Jul 2018

Keywords

11M06
11M26 (primary)
11M50 (secondary)

Access to Document

10.1112/plms.12123

Handle.net

Persistent link

Cite this

@article{2f8cb8d1922044aca449e43b488474d7,

title = "Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields",

abstract = "We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L–functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L–functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.",

keywords = "11M06, 11M26 (primary), 11M50 (secondary)",

author = "Bui, \{H. M.\} and Alexandra Florea",

year = "2018",

month = jul,

day = "1",

doi = "10.1112/plms.12123",

language = "English",

volume = "117",

pages = "65--99",

journal = "Proceedings of the London Mathematical Society",

issn = "0024-6115",

publisher = "John Wiley \& Sons, Ltd.",

number = "1",

}

TY - JOUR

T1 - Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields

AU - Bui, H. M.

AU - Florea, Alexandra

PY - 2018/7/1

Y1 - 2018/7/1

N2 - We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L–functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L–functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.

AB - We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L–functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L–functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.

KW - 11M06

KW - 11M26 (primary)

KW - 11M50 (secondary)

UR - https://www.scopus.com/pages/publications/85044440626

U2 - 10.1112/plms.12123

DO - 10.1112/plms.12123

M3 - Article (Academic Journal)

AN - SCOPUS:85044440626

SN - 0024-6115

VL - 117

SP - 65

EP - 99

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 1

ER -

Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields

Abstract

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this