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Pan, C.D. and Pan, C.B. (1988) The Elementary Proof of Prime Number Theorem (In Chinese). Shanghai Science and Technology Press, Shanghai, 41-43.

has been cited by the following article:

• TITLE: Improved Riemann Ladder Function

  AUTHORS: Dan Liu

  KEYWORDS: Ladder Function, Prime Distribution, Metens Theorem, Strong Prime Theorem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.4, April 16, 2021

  ABSTRACT: In Riemann’s prime distribution formula, there is a key Riemann ladder function. This is the basis for Riemann to study the distribution of prime numbers. But the calculation of Riemann’s ladder function is very complicated. According to the definition of Riemannian ladder function, we greatly improve the Riemannian ladder function, obtain new ladder function and improved Riemannian prime distribution formula, and prove the improved Riemannian prime distribution formula. We use the improved Riemannian prime distribution formula and merdens theorem to obtain a strong prime theorem.