Properties of counterexample to Robin hypothesis

Abstract

Let $G(n)=\sigma (n)/(n\log \log n)$. Robin made hypothesis that $G(n)<e^{\gamma }$ for all integer $n>5040$. If there exists counterexample to Robin hypothesis, then there must exist finite number of counterexamples $n>5040$ such that $G(n)$ attains largest value. This article studies various properties of such number.

23 pages

Cited by in corpus (1)

• On the Least counterexample to Robin hypothesis