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

[31] FACTORING L-FUNCTIONS AS PRODUCTS OF L-FUNCTIONS
GRENIER, D
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 345 (02) : 673 - 692
[32] Integral mean values of modular L-functions
Qiao, Z
JOURNAL OF NUMBER THEORY, 2005, 115 (01) : 100 - 122
[33] Weak subconvexity for central values of L-functions
Soundararajan, Kannan
ANNALS OF MATHEMATICS, 2010, 172 (02) : 1469 - 1498
[34] On linear combinations of special values of L-functions
Alkan, Emre
MANUSCRIPTA MATHEMATICA, 2012, 139 (3-4) : 473 - 494
[35] Trigonometric series and special values of L-functions
Alkan, Emre
Goral, Haydar
JOURNAL OF NUMBER THEORY, 2017, 178 : 94 - 117
[36] Special values of multiple Hecke L-functions
Ihara, Kentaro
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2012, 40 (1-2) : 649 - 658
[37] ON A CONJECTURE OF GROSS ON SPECIAL VALUES OF L-FUNCTIONS
YAMAGISHI, M
MATHEMATISCHE ZEITSCHRIFT, 1989, 201 (03) : 391 - 400
[38] CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS
Bui, H. M.
Milinovich, Micah B.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2011, 7 (02) : 371 - 388
[39] Special values of L-functions for orthogonal groups
Bhagwat, Chandrasheel
Raghuram, A.
COMPTES RENDUS MATHEMATIQUE, 2017, 355 (03) : 263 - 267
[40] ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS
Templier, Nicolas
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2010, 6 (08) : 1717 - 1730

← 1 2 3 4 5 →