On Mordell-Tornheim zeta values

Tsumura, Hirofumi

doi:10.1090/S0002-9939-05-08132-3

On Mordell-Tornheim zeta values
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Proc. Amer. Math. Soc. 133 (2005), 2387-2393 Request permission

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.

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