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Closure Properties of Real Number Classes under CBV Functions

✍ Scribed by Xizhong Zheng; Robert Rettinger; Romain Gengler


Book ID
105914765
Publisher
Springer
Year
2004
Tongue
English
Weight
405 KB
Volume
38
Category
Article
ISSN
1433-0490

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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