Hyperbolic Congruent Numbers

DOI10.2989/16073606.2019.1705422zbMath1481.11029OpenAlexW3002026972WikidataQ114039702 ScholiaQ114039702MaRDI QIDQ4992639

Injo Hur, Jang Hyun Jo

Publication date: 9 June 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1705422

zbMATH Keywords

elliptic curvecongruent numberhyperbolic congruent number

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45)

Cites Work

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• Rational and Heron tetrahedra
• Selmer groups and Tate-Shafarevich groups for the congruent number problem
• A classical Diophantine problem and modular forms of weight \(3/2\)
• Heron triangles via elliptic curves
• Congruent Numbers Via the Pell Equation and its Analogous Counterpart
• The Arithmetic of Elliptic Curves
• ELLIPTIC CURVES ARISING FROM BRAHMAGUPTA QUADRILATERALS

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