3 papers
math.CO2026
Elementary asymptotics for the Stirling numbers of the second kind: The central range
Hsien-Kuei Hwang, Chong-Yi Li, Vytas Zacharovas
We derive the local and central limit theorems for the Stirling numbers of the second kind by elementary means, obtaining as corollaries effective asymptotic estimates for the Bell…
math.CO2025
An Elementary Approach to Depoissonization
Vytas Zacharovas
We investigate depoissonization, the problem of recovering asymptotics of sequence coefficients from their exponential generating function. Classical approaches rely on complex-ana…
math.PR2025
Convergence in Distance to the Normal Distribution for Sums of Independent Random Variables
Vytas Zacharovas
Suppose independent random variables have zero mean and equal variance. We prove that if the average of distances between these variables and the…