Families of non-congruent numbers with arbitrarily many triplets of prime factors

DOI10.2206/KYUSHUJM.78.119MaRDI QIDQ6589615

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Publication date: 20 August 2024

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvecongruent number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Power residues, reciprocity (11A15)

Cites Work

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• Non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8
• New series of odd non-congruent numbers
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• The Magma algebra system. I: The user language
• Some new families of non-congruent numbers
• Diophantine analysis and modular forms
• The Arithmetic of Elliptic Curves
• Families of even non-congruent numbers with prime factors in each odd congruence class modulo eight
• The non-congruent numbers via Monsky’s formula

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