descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2013Embargo end date: 01 Jan 2010 English Publisher:Elsevier BVJournal:Journal of Number Theory, volume 133, pages 1,564-1,571 (issn: 0022-314X,

Authors: Jujuan Zhuang; Yidong Sun; Xiaojuan Wu;

doi: 10.1016/j.jnt.2012.08.031 , 10.48550/arxiv.1009.2929

arXiv: http://arxiv.org/abs/1009.2929

Congruences on the Bell polynomials and the derangement polynomials

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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.

6 pages

Related Organizations

Dalian Maritime University
China (People's Republic of)

Keywords

Mathematics - Number Theory, Primary 11B75, Secondary 05A15, 05A18, 11A07, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT)

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