Rui-Jing Wang

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math.NT2024

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

Rui-Jing Wang

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)\geq σ(…

math.NT2024

On a problem of Pongsriiam on the sum of divisors

Rui-Jing Wang

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 $1 \leq k \leq 29, (k, 30) = 1,$ we have $$\su…