scientific article

zbMath0920.11035MaRDI QIDQ3837795

Masahiko Fujiwara

Publication date: 10 September 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

elliptic curve\(\theta\)-congruent numbercubic diophantine equationstriangles with rational sides

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (14)

Concordant pairs in ratios with rank at least two and the distribution of \(\theta\)-congruent numbers ⋮ Congruent numbers, quadratic forms and \(K_2\) ⋮ Families of non-$\theta $-congruent numbers with arbitrarily many prime factors ⋮ New generalizations of congruent numbers ⋮ Four rational squares in arithmetic progressions and a family of elliptic curves with positive Mordell-Weil rank ⋮ Elliptic curves and the density of \({\theta}\)-congruent numbers and concordant pairs in ratios ⋮ \({\theta}\)-triangle and \({\omega}\)-parallelogram pairs with common area and common perimeter ⋮ Rational 𝜃-parallelogram envelopes via 𝜃-congruent elliptic curves ⋮ A parametrization of \(\theta\)-congruent numbers with many prime factors and with prescribed prime factors ⋮ Heron triangles via elliptic curves ⋮ The \(\theta\)-congruent number elliptic curves via Fermat-type algorithms ⋮ Adaptation of Monsky matrices for 𝜃-congruent numbers ⋮ Hyperbolic Congruent Numbers ⋮ ON -CONGRUENT NUMBERS OVER REAL NUMBER FIELDS

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