Exact \(p\)-adic valuations of Stirling numbers of the first kind

DOI10.1016/j.jnt.2017.01.023zbMath1426.11016OpenAlexW2593046930WikidataQ114157376 ScholiaQ114157376MaRDI QIDQ529441

Takao Komatsu, Paul Thomas Young

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.2017.01.023

zbMATH Keywords

\(p\)-adic valuationStirling numbers of first kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73)

Related Items (8)

Some results on \(p\)-adic valuations of Stirling numbers of the second kind ⋮ Explicit formulas for the \(p\)-adic valuations of fibonomial coefficients. II ⋮ Divisibility properties of hyperharmonic numbers ⋮ New results on the p-adic valuation of Stirling numbers ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ The p-adic analysis of Stirling numbers via higher order Bernoulli numbers ⋮ 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

• Unnamed Item
• On \(p\)-adic properties of the Stirling numbers of the first kind
• On the \(p\)-adic valuation of Stirling numbers of the first kind
• Degenerate Bernoulli polynomials, generalized factorial sums, and their applications

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