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math.NT2012
Depth reduction of a class of Witten zeta functions
David M. Bradley, Tianxin Cai, Xia Zhou
We show that if a,b,c,d,f are positive integers such that a+b+c+d+f is even, then the Witten zeta value zeta_{sl(4)}(a,b,c,d,0,f) is expressible in terms of Witten zeta functions w…
math.NT2012★ 23 cited
On Mordell-Tornheim sums and multiple zeta values
David M. Bradley, Xia Zhou
We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a…