Sums of two rational cubes with many prime factors

DOI10.1016/j.jnt.2017.03.011zbMath1405.11132OpenAlexW2615994753MaRDI QIDQ2360748

Keunyoung Jeong, Dongho Byeon

Publication date: 4 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.03.011

zbMATH Keywords

elliptic curvessums of two rational cubes

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Cubic and quartic Diophantine equations (11D25)

Related Items (5)

Infinitely many elliptic curves of rank exactly two ⋮ Elliptic curves with conductor having $n$ prime factors ⋮ Ideal class groups of imaginary quadratic fields ⋮ Real quadratic fields with odd class number divisible by 3 ⋮ Infinitely many elliptic curves of rank exactly two. II

Cites Work

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• On the conjecture of Birch and Swinnerton-Dyer
• Un analogue du calcul de Heegner. (An analogue of the Heegner calculus)
• Goldbach numbers represented by polynomials
• Congruent numbers and Heegner points
• The parity of the rank of the Mordell-Weil group
• A large sieve density estimate near \(\sigma = 1\)
• The exceptional set of Goldbach's problem
• The Analytic Rank of a Family of Elliptic Curves
• Some Sums of Two Rational Cubes
• Additive representation in thin sequences, II: The binary Goldbach problem

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