Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-24T00:04:40.041Z Has data issue: false hasContentIssue false
  • English
  • Français

Pairwise relatively prime solutions of linear diophantine Equations

Published online by Cambridge University Press:  09 April 2009

R. T. Worley
R. T. Worley
Affiliation:
Department of Mathematics Monash UniversityClayton, Victoria 3168, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that if a1,…,am are relatively prime integers then for every integer n the equation has infinitely many solutions in pairwise relatively prime integers x1,…,xm.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 1 , August 1984 , pp. 39 - 44
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Dickson, L. E., History of the theory of numbers (Chelsea, 1952).Google Scholar
[2]Neumann, B. H., Some finite groups with few defining relations, ANU Mathematics Research Report 40 (Australian National University, 1982).Google Scholar
[3]LeVeque, W. J., Reviews in number theory (Amer. Math. Soc., Providence, R.I., 1974).Google Scholar
[4]Worley, R. T., ‘Denominator sequences for continued fractions III’, J. Austral. Math. Soc. Ser. A 26 (1978), 53–56.CrossRefGoogle Scholar