The Riemann Hypothesis

EasyChair Preprint no. 3708, version 1

Abstract

In 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

@Booklet{EasyChair:3708,
  author = {Frank Vega},
  title = {The Riemann Hypothesis},
  howpublished = {EasyChair Preprint no. 3708},

  year = {EasyChair, 2020}}