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Mat. Zametki, 2011 Volume 89, Issue 3, Pages 365–377 (Mi mzm7835)
The al-Husayn Equation $x^4+y^2=z^2$

S. Sh. Kozhegel'dinov

Semipalatinsk State Pedagogical Institute

Abstract: We study the set of all natural solutions of the equation $x^4+y^2=z^2$, obtain general formulas describing all such solutions, and prove their equivalence.

Keywords: the al-Husayn equation $x^4+y^2=z^2$, Diophantine equation, Pythagorean triangle, arithmetical function.

UDC: 511

Received: 27.04.2009

DOI: 10.4213/mzm7835


 English version: Mathematical Notes, 2011, 89:3, 349–360

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© Steklov Math. Inst. of RAS, 2024