Expansion and Improvement of Sieve and application in Goldbach's problem
Number Theory
2009-04-23 v1
Abstract
This paper expands and improves on the general Sieve method. This expaned and improved Sieve is applied to Goldbach's problem. A new estimate of the exception set in Goldbach's number E(X), an improved lower bound D_{1,2}(N) and upper bound D(N) are proposed. The proposed values are: |E(X)|<= X^{0.702+e}, D_{1,2}(N)>= 2.27C(N)/ln^{2}(N), D(N) <= 6.916C(N)/ln^{2}(N).
Cite
@article{arxiv.0904.3365,
title = {Expansion and Improvement of Sieve and application in Goldbach's problem},
author = {Cheng Hui Ren},
journal= {arXiv preprint arXiv:0904.3365},
year = {2009}
}
Comments
50 pages, 5 tables