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On the large sieve in algebraic number fields

✍ Scribed by A. G. Samandarov


Publisher
SP MAIK Nauka/Interperiodica
Year
1967
Tongue
English
Weight
250 KB
Volume
2
Category
Article
ISSN
0001-4346

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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