Class groups of number fields: numerical heuristics-Reference-Cited by-同舟云学术

Class groups of number fields: numerical heuristics

Published:1987 Issue:177 Volume:48 Page:123-137
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cohen H.,Martinet J.

Abstract

Extending previous work of H. W. Lenstra, Jr. and the first author, we give quantitative conjectures for the statistical behavior of class groups and class numbers for every type of field of degree less than or equal to four (given the signature and the Galois group of the Galois closure). The theoretical justifications for these conjectures will appear elsewhere, but the agreement with the existing tables is quite good.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1987-48-177/S0025-5718-1987-0866103-4/S0025-5718-1987-0866103-4.pdf

Reference15 articles.

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2. The expectation of success using a Monte Carlo factoring method—some statistics on quadratic class numbers;Buell, Duncan A.;Math. Comp.,1984

3. Heuristics on class groups of number fields;Cohen, H.,1984

4. H. Cohen & J. Martinet, "Étude heuristique des groupes de classes." (In preparation.)

5. Computation of the 2-rank of pure cubic fields;Eisenbeis, H.;Math. Comp.,1978

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