2 citations · 6 across the 4 of their papers we have counts for
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Functional equations for Rogers dilogarithm
Ismaël Soudères
This paper proves a "new" family of functional equations (Eqn) for Rogers dilogarithm. These equations rely on the combinatorics of dihedral coordinates on moduli spaces of curves…
A relative basis for mixed Tate motives over the projective line minus three points
Ismaël Soudères
In a previous work, the author have built two families of distinguished algebraic cycles in Bloch-Kriz cubical cycle complex over the projective line minus three points. The goal o…
Multiple zeta value cycles in low weight
Ismaël Soudères
In a recent work, the author has constructed two families of algebraic cycles in Bloch cycle algebra over the prjective line minus 3 points that are expected to correspond to multi…
Cycle complex over the projective line minus three points : toward multiple zeta values cycles
Ismaël Soudères
In this paper, the author constructs a family of algebraic cycles in Bloch's cubical cycle complex over the projective line minus three points which are expected to correspond to m…
Explicit associator relations for multiple zeta values
Ismaël Soudères
Associators were introduced by Drinfel'd in as a monodromy representation of a KZ equation. Associators can be briefly described as formal series in two non-commutative variables s…
Motivic double shuffle
Ismaël Soudères
The goal of this article is to give an elementary proof of the double shuffle relations directly for the Goncharov and Manin motivic multiple zeta values. The shuffle relation is s…