Mordell-Tornheim Zeta和L-值的符号循环和的约化
Reducibility of Signed Cyclic Sums of Mordell-Tornheim Zeta and L-Values
摘要：
本文证明了Mordell-Tornheim L-值的某些符号循环和是多个较低深度L-值乘积的有理线性组合（即，可还原的）。这同时推广了Subbarao和Sitaramachandrarao以及Matsumoto等人的一些结果.作为直接推论，我们可以证明对任意整数k>2和正整数n，Mordell-Tornheim和zeta_ \MT（\{n\}_k）是可约的.
英文摘要：
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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