Citation
G. Dufner et D. Wolke, SOME REMARKS ON GOLDBACH PROBLEM, Monatshefte fuer Mathematik, 118(1-2), 1994, pp. 75-82
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00269255
Volume
118
Issue
1-2
Year of publication
1994
Pages
75 - 82
Database
ISI
SICI code
0026-9255(1994)118:1-2<75:SROGP>2.0.ZU;2-0
Abstract
Some Remarks on Goldbach's Problem. By combinatorial means the authors
show the existence of ''thin'' sub-sets of primes, useful for Goldbac
h decompositions. For example, there is a set P' of primes with #{p le
ss-than-or-equal-to x, p is-an-element-of P'} << (ln x)2, such that al
l but O(x(ln x)-A) even integers n less-than-or-equal-to x can be writ
ten as n = p + p' (p prime, p' is-an-element-of P').