Adaptation of Monsky matrices for 𝜃-congruent numbers

DOI10.1142/S1793042120500207zbMath1448.11109OpenAlexW2966126475WikidataQ114071956 ScholiaQ114071956MaRDI QIDQ5221463

Youcef Mokrani

Publication date: 26 March 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042120500207

zbMATH Keywords

elliptic curvesnon-congruent numbers\( \theta \)-congruent numbersMonsky matrices

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (1)

Rational 𝜃-parallelogram envelopes via 𝜃-congruent elliptic curves

Cites Work

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• Non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8
• A classical Diophantine problem and modular forms of weight \(3/2\)
• The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
• An extension theorem for generating new families of non-congruent numbers
• Families of non-congruent numbers with arbitrarily many prime factors
• SOME VARIANTS OF THE CONGRUENT NUMBER PROBLEM I
• SOME VARIANTS OF THE CONGRUENT NUMBER PROBLEM II
• θ-congruent numbers and elliptic curves
• Families of non-$\theta $-congruent numbers with arbitrarily many prime factors
• On the prime factors of non-congruent numbers

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