On the estimation of the order of Euler-Zagier multiple zeta-functions

被引：11

作者：

Ishikawa, H ^{[1
]}

Matsumoto, K

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2003年 / 47卷 / 04期

关键词：

D O I：

10.1215/ijm/1258138096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove upper bound estimates for Euler-Zagier multiple zeta-functions. First, by shifting the paths of the relevant Mellin-Barnes type integrals to the right, we prove an estimate for general r-fold zeta-functions. Then, in the cases r = 2 and r = 3, we give further improvements by shifting the path suitably to the left.

引用

页码：1151 / 1166

页数：16

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