Units of algebraic numberfields
β Scribed by Charles J Parry
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 182 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let \(K\) be an algebraic number field and \(k\) be a proper subfield of \(K\). Then we have the relations between the relative degree \([K: k]\) and the increase of the rank of the unit groups. Especially, in the case of \(m\) th cyclotomic field \(Q\left(\zeta_{m}\right)\), we determine the number
An asymptotic formula counting algebraic units with respect to a proximity function on the group variety is given. The proximity function measures the local distance to a divisor on the variety. The formula allows a natural definition of mean distance between the group and the divisor. By allowing t