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On Mordell-Tornheim zeta values
Authors:Hirofumi Tsumura
Affiliation:Department of Management Informatics, Tokyo Metropolitan College, Akishima, Tokyo 196-8540, Japan
Abstract:We prove that the Mordell-Tornheim zeta value of depth $r$ can be expressed as a rational linear combination of products of the Mordell-Tornheim zeta values of lower depth than $r$ when $r$ and its weight are of different parity.

Keywords:Tornheim's double series   multiple zeta values   Riemann's zeta function   uniformly convergent series
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