Jeśmanowicz’ Conjecture with Congruence Relations. II
2014 ◽
Vol 57
(3)
◽
pp. 495-505
◽
AbstractLet a, b, and c be primitive Pythagorean numbers such that a2 + b2 = c2 with b even. In this paper, we show that if b0 ≡ ∊(mod a) with ε ∊ {±1} for certain positive divisors b0 of b, then the Diophantine equation ax + by = cz has only the positive solution (x, y, z) = (2, 2, 2).
2012 ◽
Vol 86
(2)
◽
pp. 348-352
◽
2006 ◽
Vol 11
(4)
◽
pp. 323-329
◽
2017 ◽
Vol 29
(2)
◽
pp. 115-124
Keyword(s):
Keyword(s):