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Non-conservative function fields of genus one I

✍ Scribed by Clifford S. Queen


Book ID
112498980
Publisher
Springer
Year
1971
Tongue
English
Weight
634 KB
Volume
22
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


Class Numbers of Real Quadratic Function
✍ Humio Ichimura πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 160 KB

For a prime number p, let ‫ކ‬ p be the finite field of cardinality p and X Ο­ 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