|
|||||
|
|
Computation of class numbers of quadratic number fields |
|
| Authors: | Sté phane Louboutin. |
| Affiliation: | Institut de Mathématiques de Luminy, UPR 906, 163, avenue de Luminy, Case 907, 13288 Marseille Cedex 9, France |
| Abstract: | We explain how one can dispense with the numerical computation of approximations to the transcendental integral functions involved when computing class numbers of quadratic number fields. We therefore end up with a simpler and faster method for computing class numbers of quadratic number fields. We also explain how to end up with a simpler and faster method for computing relative class numbers of imaginary abelian number fields. |
| Keywords: | Quadratic number field class number Dirichlet $L$-function relative class number. |
| 点击此处可从《Mathematics of Computation》浏览原始摘要信息 | |
| 点击此处可从《Mathematics of Computation》下载全文 | |