| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415660 | Journal of Number Theory | 2012 | 13 Pages |
Abstract
We prove that if λ1, λ2, λ3 and λ4 are non-zero real numbers, not all of the same sign, λ1/λ2 is irrational, and Ï is any real number then, for any ε>0, the inequality |λ1p1+λ2p22+λ3p32+λ4p42+Ï|⩽(maxjpj)â1/18+ε has infinitely many solutions in prime variables p1,â¦,p4.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alessandro Languasco, Alessandro Zaccagnini,