A family of analogues to the Robin criterion

Steve Fan, Mits Kobayashi, Grant Molnar

The Robin criterion states that the Riemann hypothesis is equivalent to the inequality $\ddot{I}ƒ(n)<e^{3}n\log \log n$ for all $n>5040$, where $\ddot{I}ƒ(n)$ is the sum of divisors of $n$, an…