Divisibility by 2-powers of certain quadratic class numbers. (English) Zbl 0767.11054

Stevenhagen, Peter

J. Number Theory 43, No. 1, 1-19 (1993).

The author looks at divisibility of the strict class number of quadratic fields of discriminant \(8p\), \(-8p\) and \(-4p\) by powers of 2 where \(p\equiv 1\pmod 4\) is prime.

Reviewer: R.Mollin (Calgary)

MSC:

11R29	Class numbers, class groups, discriminants
11R11	Quadratic extensions

Keywords:

divisibility; class number; quadratic fields