On the Diophantine equation \(v(v + 1) = u(u + a)(u + 2a)\)

DOI10.1007/s10474-013-0374-0zbMath1324.11033OpenAlexW2049618408MaRDI QIDQ397028

T. Porto, Hemar Godinho, Alain S. Togbé

Publication date: 14 August 2014

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

Full work available at URL: https://doi.org/10.1007/s10474-013-0374-0

zbMATH Keywords

arithmetic progressionDiophantine equationcubic real field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Arithmetic progressions (11B25)

Related Items (2)

Fundamental units for a family of totally real cubic orders and the diophantine equation u(u + a)(u + 2a) = v(v + 1) ⋮ Non-Galois cubic number fields with exceptional units. II

Cites Work

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• On the integer solutions of \(y(y+1) = x(x+1) (x+2)\)
• POWERS FROM PRODUCTS OF CONSECUTIVE TERMS IN ARITHMETIC PROGRESSION
• Perfect powers from products of consecutive terms in arithmetic progression
• Effective Determination of the Decomposition of the Rational Primes in a Cubic Field
• On arithmetic progressions of equal lengthsand equal products of terms
• On arithmetic progressions of equal lengths with equal products
• Class-number problems for cubic number fields

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