V. Kh. Salikhov, A. I. Frolovichev, “On multiple integrals represented as a linear form in <nobr>$1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$</nobr>”, Fundam. Prikl. Mat., 2005, Volume 11, Issue 6,Pages <nobr>143

On multiple integrals represented as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$

V. Kh. Salikhov^a, A. I. Frolovichev^b

^a Bryansk Institute of Transport Engineering
^b Bryansk State Technical University

Abstract: A theorem on the presentability of a multiple integral as a linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$ over $\mathbb Q$ is proved. This theorem refines the results recently obtained by D. Vasiliev, V. Zudilin, and S. Zlobin.

UDC: 511.36