Reducibility of Signed Cyclic Sums of Mordell-Tornheim Zeta and L-Values

Details Reducibility of Signed Cyclic Sums of Mordell-Tornheim Zeta and L-Values Reducibility of Signed Cyclic Sums of Mordell-Tornheim Zeta and L-Values

2009-02-07

arxiv.org/abs/0902.1262v1

Mathematics

Number Theory

Scientific paper

In this paper, we shall show that certain signed cyclic sums of Mordell-Tornheim L-values are rational linear combinations of products of multiple L-values of lower depths (i.e., reducible). This simultaneously generalizes some results of Subbarao and Sitaramachandrarao, and Matsumoto et al. As a direct corollary, we can prove that for any integer k>2 and positive integer n, the Mordell-Tornheim sums zeta_\MT(\{n\}_k) is reducible.

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