ALTERNATING EULER SUMS AND SPECIAL VALUES OF THE WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO

Journal of the Australian Mathematical Society

JIANQIANG ZHAO¹ 

关键词: primary 11M41;    secondary 11S45;    17B20;   

DOI  :  10.1017/S1446788711001054

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We study the Witten multiple zeta function associated with the Lie algebra . Our main result shows that its special values at nonnegative integers are always expressible by alternating Euler sums. More precisely, every such special value of weight w at least 2 is a finite ℚ-linear combination of alternating Euler sums of weight w and depth at most 2, except when the only nonzero argument is one of the two last variables, in which case ζ(w−1) is needed.

【 授权许可】

Unknown