Download PDFOpen PDF in browserCurrent versionShort Note on the Riemann HypothesisEasyChair Preprint 6347, version 13 pages•Date: August 22, 2021AbstractRobin criterion states that the Riemann Hypothesis is true if and only if the inequality $\sigma(n) < e^{\gamma } \times n \times \log \log n$ holds for all $n > 5040$, where $\sigma(n)$ is the sumofdivisors function and $\gamma \approx 0.57721$ is the EulerMascheroni constant. This is known as the Robin inequality. We know that the Robin inequality is true for all $n > 5040$ which are not divisible by $2$. In addition, we prove the Robin inequality is true for all $n > 5040$ which are divisible by $2$. In this way, we show the Robin inequality is true for all $n > 5040$ and thus, the Riemann Hypothesis is true. Keyphrases: Riemann hypothesis, Robin inequality, prime numbers, sumofdivisors function
