An inequality relating the regulator and the discriminant of a number field |
| |
Authors: | Joseph H. Silverman |
| |
Affiliation: | Mathematics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA |
| |
Abstract: | Let K be a number field of degree d with regulator RK and absolute discriminant DK. Let r(K) be the rank of the unit group in K, and let p(K) be the maximum of r(k) as k ranges over proper subfields of K. We prove for constants cd, γd > 0 depending only on d. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|