Download PDFOpen PDF in browserCurrent versionNote on the Odd Perfect NumbersEasyChair Preprint 8121, version 68 pages•Date: June 4, 2022AbstractThe 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
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