Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions

被引：23

作者：

Aoki, T ^{[1
]}

Ohno, Y ^{[1
]}

机构：

[1] Kinki Univ, Dept Math, Osaka 5778502, Japan

来源：

关键词：

D O I：

10.2977/prims/1145475357

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit representation for the sums of multiple zeta-star values of fixed weight and height in terms of Riemann zeta values.

引用

页码：329 / 337

页数：9

共 14 条

[1] Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
Arakawa, T
Kaneko, M
[J]. NAGOYA MATHEMATICAL JOURNAL, 1999, 153 : 189 - 209
[2] ERDELY A, 1985, HIGHER TRANSCENDENTA, V1
[3] Euler L., 1775, NOVI COMM ACAD SCI P, V20, P140
[4] Granville A., 1997, London Math. Soc. Lecture Note Ser., V247, P95
[5] Relations of multiple zeta values and their algebraic expression
Hoffman, ME
Ohno, Y
[J]. JOURNAL OF ALGEBRA, 2003, 262 (02) : 332 - 347
[6] MULTIPLE HARMONIC SERIES
HOFFMAN, ME
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1992, 152 (02) : 275 - 290
[7] KOMBU Y, 2003, THESIS KINKI U
[8] KONTSEVICHS INTEGRAL FOR THE HOMFLY POLYNOMIAL AND RELATIONS BETWEEN VALUES OF MULTIPLE ZETA-FUNCTIONS
LE, TQT
MURAKAMI, J
[J]. TOPOLOGY AND ITS APPLICATIONS, 1995, 62 (02) : 193 - 206
[9] Ohno Y, 2005, DEV MATH, V14, P131
[10] Multiple zeta values of fixed weight, depth, and height
Ohno, Y
Zagier, D
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2001, 12 (04): : 483 - 487