A new algorithm to search for small nonzero |𝑥³-𝑦²| values

DOI10.1090/S0025-5718-09-02240-6zbMath1220.11156arXivmath/0504579OpenAlexW2036769640MaRDI QIDQ3055208

I. Jiménez Calvo, Germán Sáez, Javier Herranz

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504579

zbMATH Keywords

Mordell's equationHall's conjecture

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

Search for good examples of Hall’s conjecture ⋮ Mordell’s equation: a classical approach

Uses Software

• PARI/GP

Cites Work

• Analysis of a simple factorization algorithm
• Taking cube roots in \(\mathbb Z_{m}\)
• Effective estimates of solutions of some diophantine equations
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
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