Expansion and Improvement of Sieve and application in Goldbach's problem

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dc.creatorRen, Cheng Hui
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:11Z
dc.date.available2026-07-07T13:07:11Z
dc.descriptionThis 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).
dc.description50 pages, 5 tables
dc.identifierhttps://arxiv.org/abs/0904.3365
dc.identifierhttp://arxiv.org/abs/0904.3365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228010
dc.subjectNumber Theory
dc.subject11A99, 11Y99
dc.titleExpansion and Improvement of Sieve and application in Goldbach's problem
dc.typetext

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