𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on unit and class number of real quadratic fields

✍ Scribed by Takashi Agoh

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1989
Tongue
English
Weight
323 KB
Volume
5
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Note on the Divisibility of Class Numb
A Note on the Divisibility of Class Numbers of Real Quadratic Fields
✍ Gang Yu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

Suppose g > 2 is an odd integer. For real number X > 2, define S g ðX Þ the number of squarefree integers d4X with the class number of the real quadratic field Qð ffiffiffi d p Þ being divisible by g. By constructing the discriminants based on the work of Yamamoto, we prove that a lower bound S g ðX

Class Numbers of Real Quadratic Function
Class Numbers of Real Quadratic Function Fields of Genus One
✍ 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