2 citations · 3 across the 3 of their papers we have counts for
10 papers
Poly-Cauchy numbers -- the combinatorics behind
Beáta Bényi, José Luis Ramírez
We introduce poly-Cauchy permutations that are enumerated by the poly-Cauchy numbers. We provide combinatorial proofs for several identities involving poly-Cauchy numbers and some…
Toppling on permutations with an extra chip
Arvind Ayyer, Beáta Bényi
The study of toppling on permutations with an extra labeled chip was initiated by the first author with D. Hathcock and P. Tetali (arXiv:2010.11236), where the extra chip was added…
Combinatorial proof of an identity on Genocchi numbers
Beáta Bényi, Matthieu Josuat-Vergès
In this note we present a combinatorial proof of an identity involving poly-Bernoulli numbers and Genocchi numbers. We introduce the combinatorial objects, barred Callan sequen…
On the combinatorics of symmetrized poly-Bernoulli numbers
Beáta Bényi, Toshiki Matsusaka
In this paper we introduce three combinatorial models for symmetrized poly-Bernoulli numbers. Based on our models we derive generalizations of some identities for poly-Bernoulli nu…
Lonesum and -free - fillings of Ferrers shapes
Gábor V. Nagy, Beáta Bényi
We show that -free fillings and lonesum fillings of Ferrers shapes are equinumerous by applying a previously defined bijection on matrices for this more general case and by cons…
On -poly-Bernoulli numbers arising from combinatorial interpretations
Beáta Bényi, José Luis Ramírez
In this paper we present several natural -analogues of the poly-Bernoulli numbers arising in combinatorial contexts. We also recall some relating analytical results and ask for…