𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Indivisibility of Class Numbers of Real Quadratic Fields

✍ Scribed by Ken Ono


Book ID
111524337
Publisher
Cambridge University Press
Year
1999
Tongue
English
Weight
77 KB
Volume
119
Category
Article
ISSN
0010-437X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Class Numbers of Real Quadratic Function
✍ Humio Ichimura 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 160 KB

For a prime number p, let ‫ކ‬ p be the finite field of cardinality p and X ϭ X p a fixed indeterminate. We prove that for any natural number N, there exist infinitely many pairs ( p, K/‫ކ‬ p (X )) of a prime number p and a ''real'' quadratic extension K/‫ކ‬ p (X ) for which the genus of K is one and