On Pythagorean triangles



Abstract

The following theorem answers a question asked by I. Korec at the Second Czech & Polish Conference on Number Theory.

Theorem. If m∈ℕ, ord2m is even, x0,y0,z0∈ℤ and
(1)      x02+y02z02(modm),
then there exist x,y,z∈ℤ such that
x2+y2 = z2x2x02y2y02z2z02(modm).


Keywords

Pythagorean triangles

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Published : 1998-09-30


SchinzelA. (1998). On Pythagorean triangles. Annales Mathematicae Silesianae, 12, 31-33. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14161

Andrzej Schinzel  schinzel@plearn.edu.pl
Instytut Matematyczny Polskiej Akademii Nauk  Poland



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