On a problem of Pongsriiam on the sum of divisors
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 for every integer 1≤ k≤ 29,\ (k,30)=1, we have Σn≤ Kσ(30n)>Σn≤ Kσ(30n+k) for all K∈ N, which gives a positive answer to a problem posed by Pongsriiam recently.
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