Congruences on the Bell polynomials and the derangement polynomials

Details Congruences on the Bell polynomials and the derangement polynomials Congruences on the Bell polynomials and the derangement polynomials

2010-09-15

arxiv.org/abs/1009.2929v1

Mathematics

Combinatorics

6 pages

Scientific paper

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.

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