Open AccessOn a Diophantine equation of Andrej Dujella
Author(s) -
Keith R. Matthews,
John P. Robertson,
Jim White
Publication year - 2013
Publication title -
glasnik matematicki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.48.2.04
Subject(s) - diophantine equation , mathematics , calculus (dental) , pure mathematics , medicine , dentistry
We investigate positive solutions (x,y) of the Diophantine equation x2-(k2+1)y2=k2 that satisfy y < k-1, where k≥ 2. It has been conjectured that there is at most one such solution for a given k
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