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On the diophantine equation
Author(s):
Florian
Luca
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1339-1345.
MSC (2000):
Primary 11D61, 11D72
Posted:
December 6, 2002
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Abstract:
In this note, we find all positive integer solutions of the diophantine equation from the title with a prime power.
References:
-
- 1.
- Y. Bilu, G. Hanrot, P. Voutier, Existence of primitive divisors of Lucas and Lehmer numbers, J. Reine Angew. Math. 539 (2001), 75-122. MR 2002j:11027
- 2.
- M. H. Le, The diophantine equation
, Proc. Amer. Math. Soc. 106 no. 3 (1989), 599-604. MR 90b:11024 - 3.
- M. Mignotte, A. Petho, On the diophantine equation
, Publ. Math. 43 no. 1 (1999), 207-216. MR 2000d:11044 - 4.
- C. Skinner, The diophantine equation
, Pacific J. of Math. 139 no. 2 (1989), 303-309. MR 90g:11039 - 5.
- N. Tzanakis, J. Wolfskill, The diophantine equation
, with an application to coding theory, J. Number Theory 26 no. 1 (1987), 96-116. MR 88g:11009
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Additional Information:
Florian
Luca
Affiliation:
Instituto de Matemáticas UNAM, Ap. Postal 61-3 (Xangari), CP 58 089, Morelia, Michoacán, Mexico
Email:
fluca@matmor.unam.mx
DOI:
10.1090/S0002-9939-02-06921-6
PII:
S 0002-9939(02)06921-6
Received by editor(s):
September 28, 2001
Posted:
December 6, 2002
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2002,
American Mathematical Society
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