Construction of all cubic function fields of a given square-free discriminant
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Publication:2942544
DOI10.1142/S1793042115500803zbMath1390.11134OpenAlexW2051279135MaRDI QIDQ2942544
Renate Scheidler, Hugh C. Williams, Michael J. Jacobson jun., Yoon-Jin Lee
Publication date: 11 September 2015
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042115500803
Arithmetic theory of algebraic function fields (11R58) Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16)
Related Items (6)
Cubic function fields with prescribed ramification ⋮ Tabulation of cubic function fields via polynomial binary cubic forms ⋮ A complete study of the ramification for any separable cubic global function field ⋮ On calculating the number \(N(D)\) of global cubic fields \(F\) of given discriminant \(D\) ⋮ Infinite families of class groups of quadratic fields with 3-rank at least one: quantitative bounds ⋮ Computing quadratic function fields with high 3-rank via cubic field tabulation
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