A note on Jeśmanowicz’ conjecture for non-primitive Pythagorean triples
Let \((a,b,c)\) be a primitive Pythagorean triple parameterized as \(a=u^{2}−v^{2}, b=2uv, c=u^{2}+v^{2}\), where \(u>v>0\) are co-prime and not of the same parity. In 1956, L. Jeśmanowicz conjectured that for any positive integer \(n\), the Diophantine equation \((an)^{x}+(bn)^{y}=(cn)^{z}\...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Ptolemy Scientific Research Press
2021-03-01
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| Series: | Open Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://pisrt.org/psr-press/journals/oms-vol-5-2021/a-note-on-jesmanowicz-conjecture-for-non-primitive-pythagorean-triples/ |