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

Takashi Aoki; Yasuo Ohno

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

Number Theory 2007-05-23 v1 Classical Analysis and ODEs

Authors: Takashi Aoki , Yasuo Ohno

Abstract

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

Keywords

multiple zeta values zeta values and euler sums zeta functions

Cite

@article{arxiv.math/0307264,
  title  = {Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions},
  author = {Takashi Aoki and Yasuo Ohno},
  journal= {arXiv preprint arXiv:math/0307264},
  year   = {2007}
}