Cyclic cubic extensions of ℚ

DOI10.1142/S1793042122500993zbMath1504.11055arXiv2107.09013WikidataQ114071799 ScholiaQ114071799MaRDI QIDQ5094198

Dipramit Majumdar, Balasubramanian Sury

Publication date: 2 August 2022

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

Full work available at URL: https://arxiv.org/abs/2107.09013

zbMATH Keywords

Diophantine equationscubic Galois extensionslevel raising and lowering mapsprimes as sums of two cubes

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

Cube sum problem for integers having exactly two distinct prime factors

Uses Software

• SageMath

Cites Work

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• Groupes de Selmer et corps cubiques. (Selmer group and cubic fields)
• The Diophantine equation \(ax^3+by^3+cz^3=0\)
• Primes Represented by Binary Cubic Forms
• Sylvester’s problem and mock Heegner points
• Number Theory

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