Journal of the Australian Mathematical Society (Series A)

Research Article

Pairwise relatively prime solutions of linear diophantine Equations

R. T. Worleya1

a1 Department of Mathematics Monash University Clayton, Victoria 3168, Australia

Abstract

It is shown that if a1,…,am are relatively prime integers then for every integer n the equation

S144678870002173X_eqn1

has infinitely many solutions in pairwise relatively prime integers x1,…,xm.

(Received September 20 1982)

(Revised October 21 1982)

1980 Mathematics subject classification (Amer. Math. Soc.)

  • 10 B 05