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Apostol, T.M. (2016) Introduction to Analytic Number Theory. Tang, Y.M., Translated. Harbin Institute of Technology University Press, Harbin, 22-25.

has been cited by the following article:

• TITLE: Rigorous Proof of Goldbach’s Conjecture

  AUTHORS: Zengyong Liang

  KEYWORDS: Set, Function, Sieve, Integer-Pair, Induction, Mathematical Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.9, September 7, 2018

  ABSTRACT: In this article, we use set, function, sieve and number theory to study the prime and composite numbers, prove that the lower limit formula of the number of prime numbers derived from the Euler’s function, and find d(n) to count the lower limit formula of the number of prime integer-pairs. We proved that Goldbach’s conjecture is correct by mathematical induction. Finally, we proved proof reliance by mathematical analysis and computer data.