ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn

In this note, we find all the solutions of the Diophantine equation x2 + 5a 13b = yn in positive integers x, y, a, b, n≥ 3 with x and y coprime.

Saved in:
Bibliographic Details
Published inGlasgow mathematical journal Vol. 50; no. 1; pp. 175 - 181
Main Authors ABU MURIEFAH, FADWA S., LUCA, FLORIAN, TOGBÉ, ALAIN
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.01.2008
Subjects
11D61
11Y50
Mathematics
11D61
11Y50
Online AccessGet full text

Cover

More Information
Summary:In this note, we find all the solutions of the Diophantine equation x2 + 5a 13b = yn in positive integers x, y, a, b, n≥ 3 with x and y coprime.
Bibliography:istex:E42AEDCE671DCDAD9F208FC8C1440D0F397C50E4
PII:S0017089507004028
ark:/67375/6GQ-FJT7SQW5-3
The third author was partially supported by Purdue University North Central.
ArticleID:00402
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089507004028