Heuristics on Class Groups: Some Good Primes are not too Good

DOI10.2307/2153578zbMath0827.11067OpenAlexW2021951846MaRDI QIDQ4305964

Jacques Martinet, Henri Cohen

Publication date: 11 December 1995

Full work available at URL: https://doi.org/10.2307/2153578

zbMATH Keywords

class numberclass groups of number fieldscomplex cubic fields

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items

Binomial squares in pure cubic number fields, Cohen-Lenstra heuristic and roots of unity, A class group heuristic based on the distribution of 1-eigenspaces in matrix groups, Cryptography based on number fields with large regulator, Error estimates for the Davenport-Heilbronn theorems, Class number indivisibility for quadratic function fields, On unit signatures and narrow class groups of odd degree abelian number fields

Cites Work

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• Class Groups of Number Fields: Numerical Heuristics
• On the Computation of a Table of Complex Cubic Fields with Discriminant D > -10 6
• Computation of the 2-Rank of Pure Cubic Fields