MULTI-POLYLOGS AT TWELFTH ROOTS OF UNITY AND SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO THE EXCEPTIONAL LIE ALGEBRA g(2)

作者：Zhao Jianqiang^*

来源：Journal of Algebra and Its Applications, 2010, 9(2): 327-337.

DOI：10.1142/S021949881000394X

• Witten multiple zeta function
• multi-polylog function

In this note, we shall study the Witten multiple zeta function associated with 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.

• 出版日期2010-4