𝔖 Bobbio Scriptorium
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Units of algebraic numberfields

✍ Scribed by Charles J Parry


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
182 KB
Volume
7
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


On the Units of Algebraic Number Fields
✍ I. Yamaguchi; H. Takeuchi πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 99 KB

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

On the Proximity of Algebraic Units To D
✍ G.R. Everest πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 493 KB

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