Download PDFOpen PDF in browserCurrent versionThe Riemann HypothesisEasyChair Preprint 3708, version 1Versions: 12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152→history 4 pages•Date: July 1, 2020AbstractIn mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part $\frac{1}{2}$. Many consider it to be the most important unsolved problem in pure mathematics. It is one of the seven Millennium Prize Problems selected by the Clay Mathematics Institute to carry a US 1,000,000 prize for the first correct solution. If the Robin's inequality is true for every natural number $n > 5040$, then the Riemann hypothesis is true. We demonstrate if for every natural number $n > 5040$ we have that $d(n) \leq \sqrt{n}$, then the Robin's inequality is true for $n$, where $d(n)$ is the number of divisors of $n$. In this way, we found another way of proving that the Riemann hypothesis could be true. Keyphrases: Divisor, inequality, number theory
|