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20212026
most citedAn algebra over the operad of posets and structural binomial identities

2 citations · 2 across the 13 of their papers we have counts for

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math.CO2022

A poset version of Ramanujan results on Eulerian numbers and zeta values

Eric Dolores-Cuenca, Jose L. Mendoza-Cortes

We explore the operad of finite posets and its algebras. We use order polytopes to investigate the combinatorial properties of zeta values. By generalizing a family of zeta value i…

math.QA2022

Virtual posets, shuffle algebras and associators

José A. Arciniega-Nevárez, Marko Berghoff, Eric Dolores-Cuenca

We provide a method to construct new associators out of Drinfel'd's KZ associator. We obtain two analytic families of associators whose coefficients we can describe explicitly by a…