FUNCTIONAL RELATIONS FOR ZETA-FUNCTIONS OF WEIGHT LATTICES OF LIE GROUPS OF TYPE A3

被引：0
作者：
Komori, Yasushi [1 ]
Matsumoto, Kohji [2 ]
Tsumura, Hirofumi [3 ]
机构：
[1] Rikkyo Univ, Dept Math, Toshima Ku, Tokyo 1718501, Japan
[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
[3] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Tokyo 1920397, Japan
来源：
ANALYTIC AND PROBABILISTIC METHODS IN NUMBER THEORY | 2012年
关键词：
MULTIPLE BERNOULLI POLYNOMIALS; MORDELL-TORNHEIM; VALUES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study zeta-functions of weight lattices of compact connected semisimple Lie groups of type A(3). Actually, we consider zeta-functions of SU(4), SO(6), and PU(4) and give some functional relations and new classes of evaluation formulas for them.
引用
收藏
页码：151 / +
页数：2
相关论文
共 26 条
[1]  
András S, 2003, DUKE MATH J, V118, P189
[2]  
Apostol T.M., 1976, INTRO ANAL NUMBER TH
[3]  
BOURBAKI N, 1968, GROUPES ALGEBRES LIE, pCH4
[4]   Evaluation of Dedekind sums, Eisenstein cocycles, and special values of L-functions [J].
Gunnells, PE ;
Sczech, R .
DUKE MATHEMATICAL JOURNAL, 2003, 118 (02) :229-260
[5]   MULTIPLE HARMONIC SERIES [J].
HOFFMAN, ME .
PACIFIC JOURNAL OF MATHEMATICS, 1992, 152 (02) :275-290
[6]  
Iwasawa K., 1972, LECT P ADIC L FUNCTI
[7]  
Komori Y, 2007, CONFERENCE ON L-FUNCTIONS, P115
[8]  
Komori Y., 2012, Multiple Dirichlet Series, L-Functions and Automorphic Forms, P223
[9]  
Komori Y., ARXIVMATH10110323
[10]  
Komori Y., 2010, MSJ Memoirs, V21, P115
123