593 citations
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5 papers · 1 filter
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…
Sums of random multiplicative functions over function fields with few irreducible factors
Daksh Aggarwal, Unique Subedi, William Verreault +2
We establish a normal approximation for the limiting distribution of partial sums of random Rademacher multiplicative functions over function fields, provided the number of irreduc…
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…
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)…
On gamma quotients and infinite products
Marc Chamberland, Armin Straub
Convergent infinite products, indexed by all natural numbers, in which each factor is a rational function of the index, can always be evaluated in terms of finite products of gamma…