On Witten's type of zeta values attached to \(\mathrm{SO}(5)\) (Q1881520)

The author considers Witten's type of zeta values attached to \(\text{SO}(5)\) defined by \[ \sum^\infty_{m,n=1} {1\over m^p n^q(m+ n)^r(m+ 2n)^s}, \] for nonnegative integers \(p\), \(q\), \(r\), \(s\). He proves that this value can be expressed as a rational linear combination of products of Riemann's zeta values at positive integers when this is convergent and \(p+ q+ r+ s\) is odd. For details, we refer the reader to the paper.