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On the number of solutions of linear equations in units of an algebraic number field

✍ Scribed by K. Györy


Book ID
112783193
Publisher
European Mathematical Society
Year
1979
Tongue
English
Weight
738 KB
Volume
54
Category
Article
ISSN
0010-2571

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On the Units of Algebraic Number Fields
✍ I. Yamaguchi; H. Takeuchi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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