Divisibility by 2 of Stirling numbers of the second kind and their differences

DOI10.1016/j.jnt.2014.01.005zbMath1316.11018arXiv1209.6284OpenAlexW2047714290WikidataQ114157545 ScholiaQ114157545MaRDI QIDQ401998

Wei Zhao, Jianrong Zhao, Shao-Fang Hong

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1209.6284

zbMATH Keywords

Stirling numbers of the second kindBell polynomial2-adic valuationcongruences for power series

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Congruences; primitive roots; residue systems (11A07)

Related Items (9)

Some results on \(p\)-adic valuations of Stirling numbers of the second kind ⋮ New results on the p-adic valuation of Stirling numbers ⋮ Divisibility properties of the \(r\)-Bell numbers and polynomials ⋮ 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 ⋮ The 2-adic valuations of differences of Stirling numbers of the second kind ⋮ Thep-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers

Cites Work

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• The Hurewicz Map on Stunted Complex Projective Spaces
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