On the Diophantine equation \(v(v + 1) = u(u + a)(u + 2a)\)
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Publication:397028
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
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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