Heuristics on class groups of number fields. (English) Zbl 0558.12002

Cohen, H.; Lenstra, H. W. jun.

Number theory, Proc. Journ. arith., Noodwijkerhout/Neth. 1983, Lect. Notes Math. 1068, 33-62 (1984).

This is a much more detailed version, including proofs, of the authors’ previous paper in Lect. Notes Math. 1052, 26–36 (1984; Zbl 0532.12008).
[For the entire collection see Zbl 0535.00008.]

Reviewer: Hugh C. Williams (Winnipeg)

MSC:

11R29	Class numbers, class groups, discriminants
11R11	Quadratic extensions
11Y40	Algebraic number theory computations
11R16	Cubic and quartic extensions
11R18	Cyclotomic extensions

Keywords:

class groups of quadratic fields; class number one; probability of divisibility of class number by given prime; cyclic cubic fields

Citations:

Zbl 0535.00008; Zbl 0532.12008