FUNCTIONAL EQUATIONS FOR ZETA FUNCTIONS OF BURNSIDE RINGS

被引：0

作者：

Villa-Hernandez, David ^{[1
]}

机构：

[1] Benemerita Univ Autonoma Puebla, Fac Ciencias Fisico Matemat, Puebla, Mexico

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2013年 / 29卷 / 01期

关键词：

Burnside rings; zeta functions; functional equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this article is to determine a functional equation for the zeta function of the Burnside ring B(G) for finite groups. Based on this, an explicit functional equation is given for the zeta function of the maximal order of the Burnside ring for cyclic groups of order p(n).

引用

页码：1 / 16

页数：16

共 50 条

[1] Functional equations for zeta functions of groups and rings
Voll, Christopher
ANNALS OF MATHEMATICS, 2010, 172 (02) : 1181 - 1218
[2] Zeta Functions of Burnside Rings of Groups of Order p and p2
Villa-Hernandez, David
COMMUNICATIONS IN ALGEBRA, 2009, 37 (05) : 1758 - 1786
[3] Functional equations for double zeta-functions
Matsumoto, K
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2004, 136 : 1 - 7
[4] FUNCTIONAL EQUATIONS OF ZETA FUNCTIONS ASSOCIATED WITH HOMOGENEOUS CONES
Nakashima, Hideto
TOHOKU MATHEMATICAL JOURNAL, 2020, 72 (03) : 349 - 378
[5] FUNCTIONAL-EQUATIONS WITH PARAMETER OF ZETA-FUNCTIONS
LAVRIK, AF
MATHEMATICS OF THE USSR-IZVESTIYA, 1990, 54 (03): : 519 - 540
[6] Functional equations for Selberg zeta functions with Tate motives
Koyama, Shin-ya
Kurokawa, Nobushige
JOURNAL OF NUMBER THEORY, 2022, 231 : 451 - 463
[7] Functional equations of prehomogeneous zeta functions and intertwining operators
Sato, Fumihiro
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2006, 58 (04) : 995 - 1008
[8] Zeta functions of groups and rings
du Sautoy, Marcus
ZETA FUNCTIONS OF GROUPS AND RINGS, 2008, 1925 : 1 - 203
[9] Functional equations for regularized zeta-functions and diffusion processes
Saldivar, A.
Svaiter, N. F.
Zarro, C. A. D.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (23)
[10] CLOSED TRIPLICITY OF FUNCTIONAL-EQUATIONS OF ZETA-FUNCTIONS
LAVRIK, AF
DOKLADY AKADEMII NAUK SSSR, 1989, 308 (05): : 1044 - 1046

← 1 2 3 4 5 →