ON CURIOUS GENERATING FUNCTIONS FOR VALUES OF L-FUNCTIONS

被引：3

作者：

Patkowski, Alexander E. ^{[1
]}

机构：

[1] Univ Regina, Regina, SK S4S 0A2, Canada

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2010年 / 6卷 / 07期

关键词：

q-series; L-functions; real quadratic fields; summation of tails;

D O I：

10.1142/S1793042110003630

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some curious identities for generating functions for values of L-functions. It is shown how to obtain generating functions for values of L-functions using a slightly different approach, resulting in some new q-series identities.

引用

页码：1531 / 1540

页数：10

共 50 条

[1] Large values of Dirichlet L-functions at zeros of a class of L-functions
Li, Junxian
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2021, 73 (06): : 1459 - 1505
[2] On the Northcott property for special values of L-functions
Pazuki, Fabien
Pengo, Riccardo
REVISTA MATEMATICA IBEROAMERICANA, 2024, 40 (01) : 1 - 42
[3] Average values of L-functions in even characteristic
Bae, Sunghan
Jung, Hwanyup
JOURNAL OF NUMBER THEORY, 2018, 186 : 269 - 303
[4] Average values of L-functions in characteristic two
Chen, Yen-Mei J.
JOURNAL OF NUMBER THEORY, 2008, 128 (07) : 2138 - 2158
[5] ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS
Templier, Nicolas
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (08) : 1717 - 1730
[6] Computing special values of motivic L-functions
Dokchitser, T
EXPERIMENTAL MATHEMATICS, 2004, 13 (02) : 137 - 149
[7] VALUES OF L-FUNCTIONS AT THE CRITICAL-POINT
MAI, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (02) : 415 - 428
[8] ON CERTAIN MEAN VALUES OF LOGARITHMIC DERIVATIVES OF L-FUNCTIONS AND THE RELATED DENSITY FUNCTIONS
Mine, Masahiro
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2019, 61 (02) : 179 - 199
[9] The distribution of central values of elliptic curve L-functions
Hinkel, Dustin
Young, Matthew P.
JOURNAL OF NUMBER THEORY, 2015, 156 : 15 - 20
[10] Correlation of shifted values of L-functions in the hyperelliptic ensemble
Darbar, Pranendu
Maiti, Copal
FINITE FIELDS AND THEIR APPLICATIONS, 2021, 76

← 1 2 3 4 5 →