Citation
J. Brudern et A. Perelli, GOLDBACH NUMBERS IN SPARSE SEQUENCES, Annales de l'Institut Fourier, 48(2), 1998, pp. 353
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
03730956
Volume
48
Issue
2
Year of publication
1998
Database
ISI
SICI code
0373-0956(1998)48:2<353:GNISS>2.0.ZU;2-D
Abstract
We show that for almost all n is an element of N, the inequality \p(1)
+ p(2) - exp((log n)(gamma))\ < 1 has solutions with odd prime number
s pi and pa, provided 1 < gamma < 3/2. Moreover, we give a rather shar
p bound for the exceptional set. This result provides almost-all resul
ts for Goldbach numbers in sequences rather thinner than the values ta
ken by any polynomial.