TWISTED FIRST MOMENT OF QUADRATIC AND QUADRATIC TWIST L-FUNCTIONS

Peng Gao; Liangyi Zhao

doi:10.7169/facm/2120

TWISTED FIRST MOMENT OF QUADRATIC AND QUADRATIC TWIST L-FUNCTIONS

Peng Gao
, Liangyi Zhao

School of Mathematical Sciences

University of New South Wales

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

1 Scopus citations

Abstract

We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet L-function and a quadratic twist of a modular L-function.

Original language	English
Pages (from-to)	101-127
Number of pages	27
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	70
Issue number	1
DOIs	https://doi.org/10.7169/facm/2120
State	Published - Mar 2024

Keywords

central values
first moment
modular L-function
non-vanishing
quadratic Dirichlet L-function

Access to Document

10.7169/facm/2120

Cite this

@article{dd59d4515c244016b887f3295e051800,

title = "TWISTED FIRST MOMENT OF QUADRATIC AND QUADRATIC TWIST L-FUNCTIONS",

abstract = "We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet L-function and a quadratic twist of a modular L-function.",

keywords = "central values, first moment, modular L-function, non-vanishing, quadratic Dirichlet L-function",

author = "Peng Gao and Liangyi Zhao",

year = "2024",

month = mar,

doi = "10.7169/facm/2120",

language = "英语",

volume = "70",

pages = "101--127",

journal = "Functiones et Approximatio, Commentarii Mathematici",

issn = "0208-6573",

publisher = "Adam Mickiewicz University",

number = "1",

}

TY - JOUR

T1 - TWISTED FIRST MOMENT OF QUADRATIC AND QUADRATIC TWIST L-FUNCTIONS

AU - Gao, Peng

AU - Zhao, Liangyi

PY - 2024/3

Y1 - 2024/3

N2 - We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet L-function and a quadratic twist of a modular L-function.

AB - We evaluate the twisted first moment of central values of the product of a quadratic Dirichlet L-function and a quadratic twist of a modular L-function.

KW - central values

KW - first moment

KW - modular L-function

KW - non-vanishing

KW - quadratic Dirichlet L-function

UR - https://www.scopus.com/pages/publications/85188175800

U2 - 10.7169/facm/2120

DO - 10.7169/facm/2120

M3 - 文章

AN - SCOPUS:85188175800

SN - 0208-6573

VL - 70

SP - 101

EP - 127

JO - Functiones et Approximatio, Commentarii Mathematici

JF - Functiones et Approximatio, Commentarii Mathematici

IS - 1

ER -

TWISTED FIRST MOMENT OF QUADRATIC AND QUADRATIC TWIST L-FUNCTIONS

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this