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Multiple zeta values or r-ford Euler sums are defined by
ζ(α1,α2,…,αr)=∑1≤k1<k2<⋯<krk1−α1k2−α2⋯kr−αr
where α1,α2,…,αrα1,α2,…,αr are positive integers and αr≥2αr≥2 for the sake of convergence.… (More)

- Minking Eie, Tung-Yang Lee
- 2018

For positive integers m,n,k with m ≥ 2 and ⌈n/2⌉≤ k ≤ n, let E{m}(m,n,k) be the sum of multiple zeta values of depth k and weight mn with arguments m or 2m, i.e. E{m}(m,n,k) =∑ |α|=nαj=1 or… (More)

- Minking Eie, Tung-Yang Lee
- 2016

Abstract The duality theorem and sum formula [8] are undoubtedly the crucial relations among multiple zeta values. They can be expressed as ζ ( { 1 } p , q + 2 ) = ζ ( { 1 } q , p + 2 ) and ∑ | α | =… (More)