Congruences on the Bell polynomials and the derangement polynomials
Combinatorics
2010-09-16 v1 Number Theory
Abstract
In this note, by the umbra calculus method, the Sun and Zagier's congruences involving the Bell numbers and the derangement numbers are generalized to the polynomial cases. Some special congruences are also provided.
Cite
@article{arxiv.1009.2929,
title = {Congruences on the Bell polynomials and the derangement polynomials},
author = {Yidong Sun and Xiaojuan Wu and Jujuan Zhuang},
journal= {arXiv preprint arXiv:1009.2929},
year = {2010}
}
Comments
6 pages