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Note on the Odd Perfect Numbers

EasyChair Preprint no. 8121, version 1

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6 pagesDate: May 30, 2022


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 $\frac{1}{2}$. Under the assumption of the Riemann Hypothesis, we claim that there is not any odd perfect number at all.

Keyphrases: Odd perfect numbers, prime numbers, Riemann hypothesis, sum-of-divisors function, Superabundant numbers

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Frank Vega},
  title = {Note on the Odd Perfect Numbers},
  howpublished = {EasyChair Preprint no. 8121},

  year = {EasyChair, 2022}}
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