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

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math.CO2024

Dots and Boxes on Certain Families of Graphs

Vedant Aryan, Alana Palmer, Alexander Skula +2

We investigate the Dots and Boxes game, also known as ``Strings and Coins,'' for certain specific families of graphs. These include complete graphs, wheel graphs, and friendship gr…

math.NT2024

The sum of the reciprocals of the prime divisors of an odd perfect or odd primitive non-deficient number

Joshua Zelinsky

Write $T (n)$ as the sum of the reciprocals of the primes which divide $n$ . Write $H (n) = \prod_{p ∣ n} p / (p - 1)$ where the product is over the prime divisors of $n$ . We prove new bound…