Open AccessOn functions of Arakawa and Kaneko and multiple zeta values
Author(s) -
Markus Kuba
Publication year - 2010
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm100126011k
Subject(s) - mathematics , arithmetic zeta function , star (game theory) , algebra over a field , pure mathematics , riemann zeta function , mathematical analysis
We study two functions $xi_{k}(s)$ and $xi_{k_1,dots,k_r}(s)$ introducedby extsc{Arakawa} and extsc{Kaneko} [Nagoya Math. J., extbf{153} (1999), 189--209] andrelate them with (finite) multiple zeta values and multiple zeta star values using elementarymethods. In particular, we give an alternative proof of a result of Ohno [extsc{Y. Ohno:} J. Number Theory, extbf{74} (1999), 39--43]