Divisibility properties of the \(r\)-Bell numbers and polynomials
type: Item
instance of: scholarly article
title: Divisibility properties of the \(r\)-Bell numbers and polynomials
zbMATH Open document ID: 1428.11052
author: José L. Ramírez
author: István Mező
published in: Journal of Number Theory
publication date: 2017-05-18T00:00:00Z
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11B73
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A16
zbMATH DE Number: 6720631
zbMATH Keywords: \(r\)-Bell numbers
zbMATH Keywords: \(r\)-Stirling numbers
zbMATH Keywords: Touchard's congruence
zbMATH Keywords: \(p\)-adic valuation
Wikidata QID: Q114157378
MaRDI profile type: Publication
full work available at URL: j.jnt.2017.01.022
OpenAlex ID: W2592415240
cites work: The 2-adic Valuation of Stirling Numbers
cites work: Complementary Bell Numbers: Arithmetical Properties and Wilf’s Conjecture
cites work: The \(r\)-Stirling numbers
cites work: Some congruences concerning the Bell numbers
cites work: Q3897101
cites work: Applications of the classical umbral calculus
cites work: Congruences for the Bell polynomials and Bell numbers
cites work: New modular properties of Bell numbers
cites work: Q4848405
cites work: Minimum Periods, Modulo p, of First-Order Bell Exponential Integers
cites work: Arithmetic properties of Bell numbers to a composite modulus I
cites work: Commutation Relations, Normal Ordering, and Stirling Numbers
cites work: The $r$-Bell numbers
cites work: Q5404203
cites work: Q5246212
cites work: The period of the Bell numbers modulo a prime
cites work: Q4092025
cites work: The Classical Umbral Calculus
cites work: The p-adic valuation of k-central binomial coefficients
cites work: A simple proof of an identity of Lacasse
cites work: The largest singletons of set partitions
cites work: The largest singletons in weighted set partitions and its applications
cites work: ON A CURIOUS PROPERTY OF BELL NUMBERS
cites work: Congruences on the Bell polynomials and the derangement polynomials
cites work: Q4752308
cites work: On some congruences for the Bell numbers and for the Stirling numbers
cites work: Aurifeuillian factorizations and the period of the Bell numbers modulo a prime
cites work: Numbers Generated by the Function e e x-1
cites work: Divisibility by 2 of Stirling numbers of the second kind and their differences
DOI: 10.1016/J.JNT.2017.01.022
description: scientific article; zbMATH DE number 6720631