THE 2-ADIC VALUATIONS OF STIRLING NUMBERS OF THE SECOND KIND

DOI10.1142/S1793042112500625zbMath1252.11025arXiv0907.3412OpenAlexW2963800277MaRDI QIDQ2890255

Jianrong Zhao, Wei Zhao, Shao-Fang Hong

Publication date: 8 June 2012

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

Full work available at URL: https://arxiv.org/abs/0907.3412

zbMATH Keywords

partitionStirling number of the second kind2-adic valuation

Mathematics Subject Classification ID

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

Related Items (12)

Some results on \(p\)-adic valuations of Stirling numbers of the second kind ⋮ Extensions of set partitions and permutations ⋮ Divisibility by 2 of Stirling numbers of the second kind and their differences ⋮ New results on the p-adic valuation of Stirling numbers ⋮ On $p$-adic valuations of Stirling numbers ⋮ On the k-regularity of the k-adic valuation of Lucas sequences ⋮ On the \(p\)-adic valuation of Stirling numbers of the first kind ⋮ 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

Cites Work

• On some congruences for the Bell numbers and for the Stirling numbers
• A number-theoretic approach to homotopy exponents of \(\text{SU}(n)\)
• The 2-adic Valuation of Stirling Numbers
• Asymptotic valuations of sequences satisfying first order recurrences

This page was built for publication: THE 2-ADIC VALUATIONS OF STIRLING NUMBERS OF THE SECOND KIND