Pure cubic fields with large minimal index

DOI10.4064/aa170427-23-11zbMath1431.11120OpenAlexW2784085993MaRDI QIDQ4634542

Zack Wolske, Henry H. Kim

Publication date: 10 April 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170427-23-11

zbMATH Keywords

minimal indexdiscriminantspure cubic fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Approximation to algebraic numbers (11J68)

Related Items (2)

Number fields with large minimal index containing quadratic subfields ⋮ An effective version of the primitive element theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations
• On the method of Thue-Siegel
• Minimal indices of pure cubic fields
• Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited
• Effective Irrationality Measures for Certain Algebraic Numbers
• Power free values of polynomials
• Explicit Lower Bounds for Rational Approximation to Algebraic Numbers
• Algebraic integers of small discriminant

This page was built for publication: Pure cubic fields with large minimal index