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The Riemann Hypothesis

EasyChair Preprint no. 3708, version 44

14 pagesDate: March 24, 2021


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 $\frac{1}{2}$. In 2002, Lagarias proved that if the inequality $\sigma(n) \leq H_{n} + exp(H_{n}) \times \log H_{n}$ holds for all $n \geq 1$, then the Riemann Hypothesis is true, where $\sigma(n)$ is the sum-of-divisors function and $H_{n}$ is the $n^{th}$ harmonic number. We prove this inequality holds for all $n \geq 1$ and therefore, the Riemann Hypothesis must be true.

Keyphrases: Divisor, inequality, number theory

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Frank Vega},
  title = {The Riemann Hypothesis},
  howpublished = {EasyChair Preprint no. 3708},

  year = {EasyChair, 2021}}
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