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A note on the Diophantine equation \(f(x) f(y) = f(z^2)\)

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Publication:519914
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DOI10.1007/S10998-014-0068-6zbMath1374.11050OpenAlexW945635301MaRDI QIDQ519914

Yong Zhang, Tian Xin Cai

Publication date: 31 March 2017

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0068-6


zbMATH Keywords

elliptic curvePell's equationDiophantine equation


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Diophantine equations in many variables (11D72) Cubic and quartic Diophantine equations (11D25)


Related Items (3)

On the Diophantine system \(f(z)= f(x) f(y)= f(u) f(v)\) ⋮ Arithmetic properties of polynomials ⋮ On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials, II




Cites Work

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  • The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\)
  • On the Diophantine equation \((x^2+k)(y^2+k)=(z^2+k)^2\)
  • On the Diophantine equation \((x^2-1)(y^2-1) = [(\tfrac 12 (y-x))^2-1^2\)]
  • On the diophantine equation f(x)f(y)=f(z)2
  • On the Diophantine equation $f(x)f(y)=f(z^2)$
  • Unsolved problems in number theory
  • On a Diophantine equation




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