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Counterexample of the Riemann Hypothesis

EasyChair Preprint 7306, version 7

Versions: 12345678history
6 pagesDate: February 3, 2022

Abstract

Under the assumption that the Riemann hypothesis is true, von Koch deduced the improved asymptotic formula $\theta(x) = x + O(\sqrt{x} \times \log^{2} x)$, where $\theta(x)$ is the Chebyshev function. We obtain a result which contradicts this asymptotic formula. By contraposition, we deduce that the Riemann hypothesis is false.

Keyphrases: Chebyshev function, Nicolas inequality, Riemann hypothesis, prime numbers

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:7306,
  author    = {Frank Vega},
  title     = {Counterexample of the Riemann Hypothesis},
  howpublished = {EasyChair Preprint 7306},
  year      = {EasyChair, 2022}}
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