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Restricted Sum Formula of Multiple Zeta Values

Published 14 Mar 2013 in math.NT | (1303.3607v1)

Abstract: Let Q(4n,d) be the sum of all multiple zeta values of depth d and weight 4n whose arguments are all multiples of 4. In this paper we derive a formula of Q(4n,d) for all d>2 as a finite sum involving binomial coefficients, Bernoulli numbers and the quantities Q(4m,2). The number of terms is about 3d2/8 which is independent of n.

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Authors (2)

  1. Haiping Yuan 
  2. Jianqiang Zhao 

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