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Twelve diophantine equations

โœ Scribed by J. H. E. Cohn


Publisher
Springer
Year
1995
Tongue
English
Weight
264 KB
Volume
65
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


Multiplicative Diophantine equations
โœ K. Srinivasa Rao; T.S. Santhanam; V. Rajeswari ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 480 KB
Aggregating diophantine equations
โœ Fred Glover; Robert E. D. Woolsey ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Springer ๐ŸŒ English โš– 516 KB
A radical diophantine equation
โœ Morris Newman ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 172 KB
On the diophantine equation
โœ Pingzhi Yuan; Yongzhong Hu ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 192 KB

Let D > 2 be a positive integer, and let p be an odd prime not dividing D. In this paper, using the deep result of Bilu, Hanrot and Voutier (i.e., the existence of primitive prime factors of Lucas and Lehmer sequences), by computing Jacobi's symbols and using elementary arguments, we prove that: if

On the diophantine equation
โœ Pingzhi Yuan ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

In this paper, we prove the equation in the title has no positive integer solutions (x, y, n) with 2 | n and x = y apart from (x, y, n) = (5, 2, 5), (90, 2, 13).