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math.NT2009
A Note on Colored Tornheim's Double Series
Jianqiang Zhao
In this short note, we provide an explicit formula to compute every colored double Tornheim's series by using double polylogarithm values at roots of unity. When the colors are giv…
math.NT2009★ 6 cited
Multi-polylogs at twelfth roots of unity and special values of Witten multiple zeta function attached to the exceptional Lie algebra G_2
Jianqiang Zhao
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 c…