Concordant pairs in ratios with rank at least two and the distribution of \(\theta\)-congruent numbers

DOI10.3792/pjaa.98.005zbMath1496.11079OpenAlexW4221029463WikidataQ114023230 ScholiaQ114023230MaRDI QIDQ2134281

Jerome Tomagan Dimabayao

Publication date: 6 May 2022

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.98.005

zbMATH Keywords

elliptic curverankconcordant forms

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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• Elliptic curves and the density of \({\theta}\)-congruent numbers and concordant pairs in ratios
• On the distribution of \(\tau\)-congruent numbers
• Finiteness theorems for abelian varieties over number fields.
• On the distribution of congruent numbers
• A few remarks on congruent numbers
• On the distribution of rank two \(\tau\)-congruent numbers
• Lucas' square pyramid problem revisited
• On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms
• Euler's concordant forms
• Concordant numbers within arithmetic progressions and elliptic curves

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