Joshua Zelinsky

activity

20122026

most citedAn improvement of an inequality of Ochem and Rao concerning odd perfect numbers

2 citations · 2 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020

On the small prime factors of a non-deficient number

Joshua Zelinsky

Let $σ (n)$ to be the sum of the positive divisors of $n$ . A number is non-deficient if $σ (n) \geq 2 n$ . We establish new lower bounds for the number of distinct prime factors of an…

math.NT2020

Must a primitive non-deficient number have a component not much larger than its radical?

Joshua Zelinsky

Let $n$ be a primitive non-deficient number where $n = p_{1}^{a_{1}} p_{2}^{a_{2}} \dots p_{k}^{a_{k}}$ where $p_{1}, p_{2}, \dots, p_{k}$ are distinct primes. We prove that there exists an $i$ such…