On shifted products which are powers

DOI10.1112/S0025579300016193zbMath1047.11029MaRDI QIDQ4817679

András Sárközy, Katalin Gyarmati, Cameron L. Stewart

Publication date: 15 September 2004

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

Diophantine \(m\)-tuplesperfect powersshifted products

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45)

Related Items (7)

Diophantine quadruples with values in k-generalized Fibonacci numbers ⋮ On the number of Diophantine \(m\)-tuples ⋮ On sets of integers whose shifted products are powers ⋮ A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS ⋮ Shifted products that are coprime pure powers ⋮ The Paley graph conjecture and Diophantine \(m\)-tuples ⋮ On Arithmetic Properties of Products and Shifted Products

Cites Work

• Il sistema diofanteo \(N+1=x^2\), \(3N+1=y^2\), \(8N+1=z^2\)
• An absolute bound for the size of Diophantine \(m\)-tuples
• On a problem of Diophantus
• THE SIMULTANEOUS DIOPHANTINE EQUATIONS y²−3x²=−2 and z²−8x²=−7
• On a Method of Solving a Class of Diophantine Equations
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

This page was built for publication: On shifted products which are powers