Divisibility properties of the \(r\)-Bell numbers and polynomials

DOI10.1016/j.jnt.2017.01.022zbMath1428.11052OpenAlexW2592415240WikidataQ114157378 ScholiaQ114157378MaRDI QIDQ529453

José L. Ramírez, István Mezö

Publication date: 18 May 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.01.022

zbMATH Keywords

\(p\)-adic valuation\(r\)-Stirling numbers\(r\)-Bell numbersTouchard's congruence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Asymptotic enumeration (05A16) Special sequences and polynomials (11B83)

Related Items (6)

Backward Touchard congruence ⋮ Extensions of set partitions and permutations ⋮ Set partitions and partitions without singleton blocks of type \(B\) ⋮ Identities behind some congruences for \(r\)-Bell and derangement polynomials ⋮ Curious congruences related to the Bell polynomials ⋮ Some inequalities for generalized Bell-Touchard polynomials

Cites Work

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• Numbers Generated by the Function e e x-1

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