The Diophantine equation x2

E. Cohn, J. H.

doi:10.1155/S0161171299224593

Journal Menu

About this Journal ·
Abstracting and Indexing ·
Aims and Scope ·
Article Processing Charges ·
Bibliographic Information ·
Editorial Board ·
Editorial Workflow ·
Publication Ethics ·
Reviewer Resources ·
Submit a Manuscript ·
Subscription Information ·
Table of Contents

Special Issues Menu

Open Special Issues ·
Published Special Issues ·
Special Issue Resources

Subscribe to
Table of Contents Alerts

International Journal of Mathematics and Mathematical Sciences
Volume 22, Issue 3, Pages 459-462
http://dx.doi.org/10.1155/S0161171299224593

The Diophantine equation x2+2k=yn, II

J. H. E. Cohn

Department of Mathematics, Royal Holloway University of London, Surrey, Egham TW20 0EX, UK

Received 19 June 1998

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

New results regarding the full solution of the diophantine equation x2+2k=yn in positive integers are obtained. These support a previous conjecture, without providing a complete proof.