The p-adic analysis of Stirling numbers via higher order Bernoulli numbers

DOI10.1142/S1793042118501671zbMath1441.11039arXiv1805.00995WikidataQ114071979 ScholiaQ114071979MaRDI QIDQ4961438

Arnold Adelberg

Publication date: 29 October 2018

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

Full work available at URL: https://arxiv.org/abs/1805.00995

zbMATH Keywords

Stirling numbers\(p\)-adic analysishigher order Bernoulli numbers and polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

New results on the p-adic valuation of Stirling numbers ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ 2-Adic valuations of Stirling numbers of the first kind ⋮ The 2-adic analysis of Stirling numbers of the second kind via higher order Bernoulli numbers and polynomials

Cites Work

• Divisibility by 2 of Stirling numbers of the second kind and their differences
• On \(p\)-adic properties of the Stirling numbers of the first kind
• On the \(p\)-adic valuation of Stirling numbers of the first kind
• Exact \(p\)-adic valuations of Stirling numbers of the first kind
• A finite difference approach to degenerate Bernoulli and Stirling polynomials
• Congruences of \(p\)-adic integer order Bernoulli numbers
• The 2-adic valuations of differences of Stirling numbers of the second kind
• THE 2-ADIC VALUATIONS OF STIRLING NUMBERS OF THE SECOND KIND
• The 2-adic Valuation of Stirling Numbers
• On the degrees of irreducible factors of higher order Bernoulli polynomials
• Alternative Proofs on the 2-adic Order of Stirling Numbers of the Second Kind
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