On the average value of the first values of the sum-of-divisors function
Tom 172 / 2023
Colloquium Mathematicum 172 (2023), 165-172
MSC: Primary 11N37.
DOI: 10.4064/cm8814-7-2022
Opublikowany online: 16 November 2022
Streszczenie
We prove that the number of positive integers n \leq x dividing \sigma (1) + \cdots + \sigma (n) is less than x/(\log x)^{0.15742} for all sufficiently large x , where \sigma stands for the sum-of-divisors function.
