例外李代数G_2上Witten重zeta函数的十二次方根多重对数与特殊值
Multi-polylogs at twelfth roots of unity and special values of Witten multiple zeta function attached to the exceptional Lie algebra G_2
摘要：
本文研究例外李代数g_2的Witten重zeta函数。我们的主要结果表明，除了两种非正则情形外，它在非负整数处的特殊值总是可以表示为在12次单位根处求取的多重对数的有理线性组合.
英文摘要：
In this note we shall study the Witten multiple zeta function associated to the exceptional Lie algebra g_2. Our main result shows that its special values at nonnegative integers can always be expressed as rational linear combinations of the multi-polylogs evaluated at 12th roots of unity, except for two irregular cases.
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