Contents Online
Communications in Number Theory and Physics
Volume 2 (2008)
Number 2
Zeta stars
Pages: 325 – 347
DOI: https://dx.doi.org/10.4310/CNTP.2008.v2.n2.a2
Authors
Abstract
We present two new families of identities for the multiple zeta(star) values: The first one generalizes the formula$\zetas(\{2\}_n,1)=2\zeta(2n+\nobreak1)$, where $\{2\}_n$ denotes the$n$-tuple $(2,2,\ldots,2)$, while the second family is a weightedanalogue of Euler’s formula $\sum_{l=2}^{n-1}\zeta(l,\breakn-l)=\zeta(n)$ ($n\ge3$).
Published 1 January 2008