Citation
Y. Kishi et K. Miyake, Parametrization of the quadratic fields whose class numbers are divisible by three, J NUMBER TH, 80(2), 2000, pp. 209-217
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X
→ ACNP
Volume
80
Issue
2
Year of publication
2000
Pages
209 - 217
Database
ISI
SICI code
0022-314X(200002)80:2<209:POTQFW>2.0.ZU;2-C
Abstract
The quadratic fields whose class numbers are divisible by 3 are parametrize
d as k = Q(root 4uw(3)-27u(2)) with integers u and w satisfying some condit
ions. Furthermore every unramified cyclic cubic extension of k is determine
d as the splitting field of g(Z) = Z(3)-uwZ-u(2). (C) 2000 Academic Press.