On a diophantine inequality involving prime numbers (III)

Authors
Citation
Yc. Cai, On a diophantine inequality involving prime numbers (III), ACTA MATH S, 15(3), 1999, pp. 387-394
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574 → ACNP
Volume
15
Issue
3
Year of publication
1999
Pages
387 - 394
Database
ISI
SICI code
1000-9574(199907)15:3<387:OADIIP>2.0.ZU;2-X
Abstract
Let 1 < c <,. In the present paper it is proved that there exists a number N(c) > 0 such that for each real number N > N(c) the inequality \p(1)(c) p(2)(c) + p(3)(c) - N\ < N-1/C(11/10 - C) log(c1) N is solvable in prime nu mbers p(1),p(2),p(3), where cl is some absolute positive constant. 1991MR S ubject Classification 11M.