3 papers
math.NT2021
New results on the p-adic valuation of Stirling numbers
Arnold Adelberg, Tamas Lengyel
We generalize results on the -adic valuations of , the Stirling number of the second kind and the Stirling number of the first kind. We have several new estimat…
math.NT2019
The 2-Adic Analysis of Stirling Numbers of the Second Kind via Higher Order Bernoulli Numbers and polynomials
Arnold Adelberg
Several new estimates for the 2-adic valuations of Stirling numbers of the second kind are proved. These estimates, together with criteria for when they are sharp, lead to improvem…
math.NT2018
The -adic Analysis of Stirling Numbers via Higher Order Bernoulli Numbers
Arnold Adelberg
In this paper, we use our previous study of the higher order Bernoulli numbers to investigate the -adic properties of the Stirling numbers of the second kind $S(n,k)…