𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the large sieve method in algebraic number fields

✍ Scribed by Werner Schaal


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
815 KB
Volume
2
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


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 Distribution of Integer Ideals in
✍ Werner Georg πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 585 KB

fields, the problem is essentially a planar lattice point problem (cf. ZAGIER [17]). To this, the deep results of HUXLEY [3], [4] can be applied to get For cubic fields, W. MULLER [12] proved that ## 43 - (h the class number), using a deep exponential sum technique due to KOLESNIK [7]. every n