Research on the Riemann Hypothesis

Wenlong DU

Abstract


This paper studies the relationship between the prime divisor and Stirling’s approximation. We get the prime number theorem and its corrected value. We get bound for the error of the prime number theorem. Riemann hypothesis is established.

Keywords


The Riemann hypothesis; Prime number; Error of the prime number theorem; Prime divisor

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References


Anonymous (2015). Riemann hypothesis. Wikipedia. Retrieved from http://en.wikipedia.org/wiki/Riemann_hypothesis

Lu, C. H. (2012). Riemann hypothesis (pp.59-63). Beijing, China: Tsinghua University Press.

Conrey, J. B. (2003). The Riemann Hypothesis. Notices of the AMS, (50), 341-352.

Koch, H. V. (1901). Sur la distribution des nombres premiers. Acta Mathematica, (24), 159-182.

Pan, C. D., & Pan, C. B. (1988). The prime number theorem’s elementary proofs (pp.38-39). Shanghai, China: Shanghai scientific & Technical Publishers.




DOI: http://dx.doi.org/10.3968/6935

DOI (PDF): http://dx.doi.org/10.3968/pdf_14

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