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20092026
most citedPeriod polynomial relations between double zeta values

20 citations · 53 across the 7 of their papers we have counts for

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math.NT2026

Moulds, Bimoulds, and some Lie algebras

Annika Burmester, Ulf Kühn, Leila Schneps

The Lie algebra of multiple zeta values is realized as the space of alternal moulds whose swap is alte…

math.NT2017

Elliptic multizetas and the elliptic double shuffle relations

Pierre Lochak, Nils Matthes, Leila Schneps

We define an elliptic generating series whose coefficients, the elliptic multizetas, are related to the elliptic analogues of multiple zeta values introduced by Enriquez as the coe…

math.NT2015★ 12 cited

ARI, GARI, Zig and Zag: An introduction to Ecalle's theory of multiple zeta values

Leila Schneps

This text has two goals. The first is to give an introduction to Ecalle's work on mould theory, multiple zeta values and double shuffle theory and relate this work explicitly to th…

math.NT2015★ 5 cited

Elliptic multiple zeta values, Grothendieck-Teichmüller and mould theory

Leila Schneps

In this article we define an elliptic double shuffle Lie algebra that generalizes the well-known double shuffle Lie algebra to the elliptic situation. The double sh…

math.NT2011★ 20 cited

Period polynomial relations between double zeta values

Samuel Baumard, Leila Schneps

The even weight period polynomial relations in the double shuffle Lie algebra were discovered by Ihara, and completely classified by the second author by relating t…

math.NT2009★ 9 cited

The algebra of cell-zeta values

Francis Brown, Sarah Carr, Leila Schneps

In this paper, we introduce cell-forms on , which are top-dimensional differential forms diverging along the boundary of exactly one cell (connected component) o…