Rocky Mountain Journal of Mathematics
- Rocky Mountain J. Math.
- Volume 50, Number 2 (2020), 551-558.
A decomposition of $\zeta(2n+3)$ into sums of multiple zeta values
We evaluate the multiple zeta value or its dual . When is even, along with stuffle relations already available, it is enough to evaluate all multiple zeta values of the form with . Furthermore, we obtain a decomposition for as
which also can be used to evaluate when is even.
Rocky Mountain J. Math., Volume 50, Number 2 (2020), 551-558.
Received: 12 June 2019
Revised: 3 November 2019
Accepted: 4 November 2019
First available in Project Euclid: 29 May 2020
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11M06: $\zeta (s)$ and $L(s, \chi)$
Secondary: 33E20: Other functions defined by series and integrals 40B05: Multiple sequences and series (should also be assigned at least one other classification number in this section)
Eie, Minking; Liaw, Wen-Chin; Ong, Yao Lin. A decomposition of $\zeta(2n+3)$ into sums of multiple zeta values. Rocky Mountain J. Math. 50 (2020), no. 2, 551--558. doi:10.1216/rmj.2020.50.551. https://projecteuclid.org/euclid.rmjm/1590739289