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von Mangoldt, H. (1985) Zu Riemann’s Abhandlung “Über die Anzahl der Priemzahlen unter einer gegebenen Grösse”. Journal für die Reine und Angewandte Mathematik, 114, 255-305.

has been cited by the following article:

• TITLE: Asymptotic Harmonic Behavior in the Prime Number Distribution

  AUTHORS: Maurice H. P. M. van Putten

  KEYWORDS: Prime Number Distribution, Summation, Regularization

  JOURNAL NAME: Applied Mathematics, Vol.5 No.16, September 4, 2014

  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.