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
The genus theory of number fields
✍ Scribed by H. M. Stark
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 277 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0010-3640
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