Computing quadratic function fields with high 3-rank via cubic field tabulation
From MaRDI portal
Publication:261672
DOI10.1216/RMJ-2015-45-6-1985zbMath1350.11095arXiv1003.1287OpenAlexW2963223155MaRDI QIDQ261672
P. Rozenhart, Michael J. Jacobson jun., Renate Scheidler
Publication date: 24 March 2016
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1287
Arithmetic theory of algebraic function fields (11R58) Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Class groups and Picard groups of orders (11R65)
Related Items (2)
Imaginary quadratic function fields with ideal class group of prime exponent ⋮ Tabulation of cubic function fields via polynomial binary cubic forms
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
- Cohen-Lenstra heuristic and roots of unity
- The Scholz theorem in function fields
- Cohen-Lenstra heuristics and the Spiegelungssatz: function fields
- Random matrices, the Cohen-Lenstra heuristics, and roots of unity
- The distribution of class groups of function fields
- Tabulation of cubic function fields via polynomial binary cubic forms
- Random Dieudonné modules, random -divisible groups, and random curves over finite fields
- On computing non-Galois cubic global function fields of prescribed discriminant in characteristic $>3$
- On the Distribution of Class Groups of Number Fields
- Construction of all cubic function fields of a given square-free discriminant
- Constructing and tabulating dihedral function fields
- On Some Families of Imaginary Quadratic Fields
- On real quadratic function fields of Chowla type with ideal class number one
- New Computations Concerning the Cohen-Lenstra Heuristics
- On quadratic fields with large 3-rank
- Class group frequencies of real quadratic function fields: The degree 4 case
- Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian
- Construction of hyperelliptic function fields of high three-rank
- Algorithmic Number Theory
This page was built for publication: Computing quadratic function fields with high 3-rank via cubic field tabulation