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

Full Text:

PDF

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

Refbacks

  • There are currently no refbacks.


Copyright (c)



Share us to:   

Reminder

We are currently accepting submissions via email only.

The registration and online submission functions have been disabled.

Please send your manuscripts to pam@cscanada.net，or   pam@cscanada.org  for consideration.

We look forward to receiving your work.

 

 

 Articles published in Progress in Applied Mathematics are licensed under Creative Commons Attribution 4.0 (CC-BY).

 ROGRESS IN APPLIED MATHEMATICS Editorial Office

Address: 1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.

Telephone: 1-514-558 6138
Http://www.cscanada.net
Http://www.cscanada.org
E-mail:office@cscanada.net office@cscanada.org caooc@hotmail.com

Copyright © 2010 Canadian Research & Development Center of Sciences and Cultures