Analytic class number formulas in function fields
β Scribed by David R. Hayes
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 846 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The analogues of the classical Kronecker and Hurwitz class number relations for function fields of any positive characteristic are obtained by a method parallel to the classical proof. In the case of even characteristic, purely inseparable orders also have to be taken into account. A subtle point is
A class number relation for function fields is obtained by studying intersections of Drinfeld modular correspondences. 1995 Academic Press. Inc.
We list all imaginary cyclotomic extensions β«ήβ¬ x, β³ rβ«ήβ¬ x with ideal class q M Ε½ x . q number equal to one. Apart from the zero genus ones, there are 17 solutions up to Ε½ . β«ήβ¬ x -isomorphism: 13 of them are defined over β«ήβ¬ and the 4 remainings are q 3 defined over β«ήβ¬ .