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Asymptotic Harmonic Behavior in the Prime Number Distribution
Sejong University, Seoul, South Korea
- 1 Sejong University, Seoul, South Korea
Applied Mathematics·Volume 05 (2014)·Pages 2547–2557·Published 29 August 2014·DOI10.4236/am.2014.516244
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Abstract
We consider on x > 0, where the sum is over all primes p . If Φ is bounded on x > 0, then the Riemann hypothesis is true or there are infinitely many zeros . The first 21 zeros give rise to asymptotic harmonic behavior in Φ( x ) defined by the prime numbers up to one trillion.
KeywordsPrime Number DistributionSummationRegularization
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