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 numbers. Finally, we set open questions and directions of further studies.
@article{10_37236_9743,
author = {Be\'ata B\'enyi and Toshiki Matsusaka},
title = {On the combinatorics of symmetrized {poly-Bernoulli} numbers},
journal = {The electronic journal of combinatorics},
year = {2021},
volume = {28},
number = {1},
doi = {10.37236/9743},
zbl = {1509.05026},
url = {http://geodesic.mathdoc.fr/articles/10.37236/9743/}
}
TY - JOUR
AU - Beáta Bényi
AU - Toshiki Matsusaka
TI - On the combinatorics of symmetrized poly-Bernoulli numbers
JO - The electronic journal of combinatorics
PY - 2021
VL - 28
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/9743/
DO - 10.37236/9743
ID - 10_37236_9743
ER -
%0 Journal Article
%A Beáta Bényi
%A Toshiki Matsusaka
%T On the combinatorics of symmetrized poly-Bernoulli numbers
%J The electronic journal of combinatorics
%D 2021
%V 28
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/9743/
%R 10.37236/9743
%F 10_37236_9743
Beáta Bényi; Toshiki Matsusaka. On the combinatorics of symmetrized poly-Bernoulli numbers. The electronic journal of combinatorics, Tome 28 (2021) no. 1. doi: 10.37236/9743