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ALTERNATING EULER SUMS AND SPECIAL VALUES OF THE WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO 
Published online by Cambridge University Press: 18 February 2011
Abstract
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.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 89 , Issue 3 , December 2010 , pp. 419 - 430
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
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