On the Diophantine system \(f(z)= f(x) f(y)= f(u) f(v)\)

DOI10.1007/s10998-017-0198-8zbMath1387.11024OpenAlexW2736579638MaRDI QIDQ1705226

Yong Zhang, Zhong Yan Shen

Publication date: 14 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10998-017-0198-8

zbMATH Keywords

elliptic curverational solutionDiophantine systempositive integer solution

Mathematics Subject Classification ID

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

Related Items (2)

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

Cites Work

• Unnamed Item
• Unnamed Item
• On products of disjoint blocks of arithmetic progressions and related equations
• On products of consecutive arithmetic progressions
• A note on the Diophantine equation \(f(x) f(y) = f(z^2)\)
• The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\)
• On the Diophantine equation \((x^ k-1)(y^ k-1)=(z^ k-1)\).
• Distribution of solutions of diophantine equations \(f_ 1 (x_ 1) f_ 2 (x_ 2)= f_ 3 (x_ 3)\), where \(f_ i\) are polynomials. II
• The decomposition of triangular numbers
• The Arithmetic of Elliptic Curves
• On the Diophantine equation $f(x)f(y)=f(z^2)$

This page was built for publication: On the Diophantine system \(f(z)= f(x) f(y)= f(u) f(v)\)