On the Diophantine equation \(ax^3 + by + c = xyz\)

DOI10.7169/facm/2015.53.1.9zbMath1397.11072OpenAlexW1889480831MaRDI QIDQ1744925

Sivanarayanapandian Subburam, Ravindrananathan Thangadurai

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1443444855

zbMATH Keywords

positive solutionsDiophantine equationsupper bound for solutionsdivisors in residue classes

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

On the Diophantine equation \(y^p = f(x_1, x_2,\ldots, x_r)\)

Cites Work

• On the positive integral solutions of the Diophantine equation \(x^3 + by + 1 - xyz = 0\)
• On the positive solutions of the Diophantine equation \(x^3+by+4-xyz=0\)
• On the positive integral solutions of the Diophantine equation \(x^3+by+1-xyz=0\)
• Positive solutions of the Diophantine equation
• Baxter algebras and shuffle products
• Divisors in residue classes, constructively
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Diophantine equation \(ax^3 + by + c = xyz\)