1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.PR2024
Approximation of Smooth Numbers for Harmonic Samples A Stein method Approach
Arturo Jaramillo, Xiaochuan Yang
We present a de Bruijn type approximation for quantifying the content of m smooth numbers, derived from samples obtained through a probability measure over the set of integers less…
math.PR2021★ 1 cited
A generalized Kubilius-Barban-Vinogradov bound for prime multiplicities
Louis H. Y. Chen, Arturo Jaramillo, Xiaochuan Yang
We present an assessment of the distance in total variation of \textit{arbitrary} collection of prime factor multiplicities of a random number in and a collect…
math.PR2021
A probabilistic approach to the Erdös-Kac theorem for additive functions
Louis H. Y. Chen, Arturo Jaramillo, Xiaochuan Yang
We present a new perspective of assessing the rates of convergence to the Gaussian and Poisson distributions in the Erdös-Kac theorem for additive arithmetic functions of a ran…