A NOTE ON THE EXCEPTIONAL SET FOR GOLDBACHS PROBLEM IN SHORT INTERVALS

Authors
KACZOROWSKI J PERELLI A PINTZ J
Citation
J. Kaczorowski et al., A NOTE ON THE EXCEPTIONAL SET FOR GOLDBACHS PROBLEM IN SHORT INTERVALS, Monatshefte fuer Mathematik, 116(3-4), 1993, pp. 275-282
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Monatshefte fuer Mathematik → ACNP
ISSN journal
00269255
Volume
116
Issue
3-4
Year of publication
1993
Pages
275 - 282
Database
ISI
SICI code
0026-9255(1993)116:3-4<275:ANOTES>2.0.ZU;2-I
Abstract
Assume the Generalized Riemann Hypothesis and suppose that H log(-6) x --> infinity. Then we prove that ail even integers in any interval of the form (x, x + H) but O(H-1/2 log(3) x) exceptions are a sum of two primes.