The Diophantine equation
Abstract: An effective method is derived for solving the equation of the title in positive integers and for given completely, and is carried out for all . If is of the form , then there is the solution , ; in the above range, except for with solution , , there are no other solutions.
- J. H. E. Cohn, Lucas and Fibonacci numbers and some Diophantine equations, Proc. Glasgow Math. Assoc. 7 (1965), 24-28. MR 31:2202
- Wilhelm Ljunggren, Einige Sätze über unbestimmte Gleichungen von der Form , Vid-Akad. Skr. Norske Oslo 1942 No. 9.
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J. H. E. Cohn
Affiliation: Department of Mathematics, Royal Holloway University of London, Egham, Surrey TW20 0EX, United Kingdom
Received by editor(s): March 4, 1996
Article copyright: © Copyright 1997 American Mathematical Society