In:
International Journal of Number Theory, World Scientific Pub Co Pte Ltd, Vol. 04, No. 04 ( 2008-08), p. 597-611
Abstract:
In this paper, we show that the number of real quadratic fields 𝕂 of discriminant Δ 𝕂 〈 x whose class group has an element of order g (with g even) is ≥ x 1/g /5 if x 〉 x 0 , uniformly for positive integers g ≤ ( log log x)/(8 log log log x). We also apply the result to find real quadratic number fields whose class numbers have many prime factors.
Type of Medium:
Online Resource
ISSN:
1793-0421
,
1793-7310
DOI:
10.1142/S1793042108001559
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2008
SSG:
17,1