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Matematicheskie Zametki, 2011, Volume 89, Issue 3, Pages 365–377
DOI: https://doi.org/10.4213/mzm7835 (Mi mzm7835) 		 
The al-Husayn Equation $x^4+y^2=z^2$

S. Sh. Kozhegel'dinov

Semipalatinsk State Pedagogical Institute
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DOI: https://doi.org/10.4213/mzm7835
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.
Received: 27.04.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 3, Pages 349–360
DOI: https://doi.org/10.1134/S0001434611030060
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: S. Sh. Kozhegel'dinov, “The al-Husayn Equation $x^4+y^2=z^2$”, Mat. Zametki, 89:3 (2011), 365–377; Math. Notes, 89:3 (2011), 349–360
Citation in format AMSBIB
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