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Note on the Odd Perfect Numbers

EasyChair Preprint 8121, version 6

Versions: 12345678910history
8 pagesDate: June 4, 2022

Abstract

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 prove that there is not any odd perfect number at all.

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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:8121,
  author    = {Frank Vega},
  title     = {Note on the Odd Perfect Numbers},
  howpublished = {EasyChair Preprint 8121},
  year      = {EasyChair, 2022}}
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