Families of even noncongruent numbers with arbitrarily many pairs of prime factors

DOI10.1216/rmj.2022.52.471OpenAlexW4280540163WikidataQ114059420 ScholiaQ114059420MaRDI QIDQ2152807

Anupam Saikia, Shamik Das

Publication date: 11 July 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-2/Families-of-even-noncongruent-numbers-with-arbitrarily-many-pairs-of/10.1216/rmj.2022.52.471.full

zbMATH Keywords

elliptic curvecongruent number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25) Power residues, reciprocity (11A15)

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.
• Some new families of non-congruent numbers
• The Arithmetic of Elliptic Curves
• Families of even non-congruent numbers with prime factors in each odd congruence class modulo eight
• Least-squares Monte-Carlo methods for optimal stopping investment under CEV models

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