2025/01/27 by Rotgé, Jonathan · 1 citation
Computer Science · Engineering · #11N25 #11N37 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2501.15947
openalex publication_date 2025/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide an asymptotic expansion for the mean-value of the logarithm of the middle prime factor of an integer, defined according to multiplicity or not, thus generalising a recent study of McNew, Pollack, and Singha Roy. This yields an improvement of the asymptotic estimate, in particular by furnishing an optimal remainder when the expansion is truncated at the first order.