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math.NT2005★ 3 cited
On a Certain Integral Over a Triangle
Sergey Zlobin
We study integrals over the triangle with vertices (1,0), (0,1), (1,1) that give linear combinations of multiple zeta values.
math.NT2005★ 2 cited
Properties of Coefficients of Certain Linear Forms in Generalized Polylogarithms
Sergey Zlobin
We study properties of coefficients of a linear form, originating from a multiple integral. As a corollary, we prove Vasilyev's conjecture, connected with the problem of irrational…