Affiliation:
1. Department of Mathematics KAIST Taejon 305-701 Korea
2. Department of Mathematics Education Chungbuk National University Cheongju 361-763 Korea
Abstract
Abstract
The parities of ideal class numbers of compositum of quadratic function fields are studied. Especially, the parities of ideal class numbers of
F
q
(
t
)
(
P
,
Q
)
and
F
q
(
t
)
(
P
,
Q
,
R
)
$\mathbb{F}_q(t)(\sqrt P,\sqrt Q) \text{ and } \mathbb{F}_q(t)(\sqrt P,\sqrt Q,\sqrt R)$
are completely determined in detail, where P,Q,R are monic irreducible polynomials of even degrees.