On a diophantine inequality involving prime numbers (III)

Authors
Citation
, On a diophantine inequality involving prime numbers (III), Acta mathematica Sinica. English series (Print) , 15(3), 1999, pp. 387-394
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
15
Issue
3
Year of publication
1999
Pages
387 - 394
Database
ACNP
SICI code
Abstract
Let 1<c<11/10. In the present paper it is proved that there exists a numberN(c)>0 such that for each real numberN>N(c) the inequality|pc1+pc2+pc3.N|<N.1c(1110.c)logc1N is solvable in prime numbersp 1,p 2,p 3, wherec 1 is some absolute positive constant.