On a problem of Pongsriiam on the sum of divisors, II

Abstract

For any positive integer n, let σ (n) be the sum of all positive divisors of n. In this paper, it is proved that the set of positive integers n for which σ(30n+1)≥ σ(30n) has a density less than 0.0371813, which answers a recent problem of Pongsriiam in part.

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