5 citations · 17 across the 7 of their papers we have counts for
7 papers
Special Values of Generalized Polylogarithms
S. A. Zlobin
We study values of generalized polylogarithms at various points and relationships among them. Polylogarithms of small weight at the points 1/2 and -1 are completely investigated. W…
Integrals Over Polytopes, Multiple Zeta Values and Polylogarithms, and Euler's Constant
Jonathan Sondow, Sergey Zlobin
Let be the triangle with vertices (1,0), (0,1), (1,1). We study certain integrals over , one of which was computed by Euler. We give expressions for them both as a linear co…
Generalizations of Guillera-Sondow's double integral formulas
Sergey Zlobin
We evaluate certain multidimensional integrals in terms of the Lerch transcendent function , generalizing Guillera-Sondow's formulas. As an application, we get new representatio…
A Note on Arithmetical Properties of Multiple Zeta Values
Sergey Zlobin
We prove an easy but interesting result about the linear independence of multiple zeta values of different weights.
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.
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…