Published April 24, 2023
| Version v1
Journal article
Open
On the Equation \(\sigma^*(n)=1+Mn\)
Description
Let $M$ be a positive integer with $M\ge3$, and let $\sigma^*(n)$ denote the unitary analogue of the sum of divisors function $\sigma(n)$. We strengthen considerably the lower estimations of the solutions $n$ of the equation $\sigma^*(n)=1+Mn$.