Arithmetic progressions of four squares over quadratic fields

zbMath1224.14003arXiv0903.3856MaRDI QIDQ2995561

Enrique González-Jiménez, Jörn Steuding

Publication date: 26 April 2011

Full work available at URL: https://arxiv.org/abs/0903.3856

zbMATH Keywords

quadratic fields\(\theta\)-congruent numbersarithmetic progressions of four squaresEuler's concordant forms

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic progressions (11B25)

Related Items (5)

Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank ⋮ Five squares in arithmetic progression over quadratic fields ⋮ Squares in arithmetic progression over number fields ⋮ Three cubes in arithmetic progression over quadratic fields ⋮ On \(\theta\)-congruent numbers, rational squares in arithmetic progressions, concordant forms and elliptic curves

Uses Software

• SageMath

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