Number Theory


Demonstration of the Goldbach Conjecture

Authors: Ibrahima Sambegou Diallo

The Goldbach conjecture is a matter of quantity of partitions of even numbers. This is a consequence of combined four tools: the Chebotarev's density theorem, the Inclusion– exclusion principle, the Prime number theorem and the Algorithms for evaluating π(x). By applying these tools on a family of arithmetic sequences, we can establish the validity of this conjecture.

Comments: 27 Pages. Here is the first part of this demonstration, which will soon be complemented. For mathematicians, the main challenge is to judge whether or not to use the Chebotarev theorem and asymptotic formulas for solving the Goldbach hypothesis. Happy reading!

Download: PDF

Submission history

[v1] 2013-02-25 14:35:28

Unique-IP document downloads: 1113 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus