A generalization on the average ratio of the smallest and largest prime divisor of n

2019/07/15 by Biao Wang, Wang, Biao
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1907.09129

arxiv created 2019/07/15 · openalex publication_date 2019/07/15 · arxiv updated 2019/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1982, Erdös and van Lint showed an estimate for the average of the ratio of the smallest and largest prime divisor of n. In this note, we apply C.H. Jia's method to give an estimate for the average of positive integer power of the ratio.

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