Algebraic Number-Fields with two Independent Units
โ Scribed by Berwick, W. E. H.
- Book ID
- 120103199
- Publisher
- Oxford University Press
- Year
- 1932
- Tongue
- English
- Weight
- 350 KB
- Volume
- s2-34
- Category
- Article
- ISSN
- 0024-6115
No coin nor oath required. For personal study only.
๐ 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
In a previous paper we proved that there are 11 quadratic algebraic function fields with divisor class number two. Here we complete the classification of algebraic function fields with divisor class number two giving all non-quadratic solutions. Our result is the following. Let us denote by k the fi
Dedicated to the memory of Jiirgen Sehmidt\* Two new combinatorial identities are derived from explicitly stated units in algebraic number fields of degree n= 3. Let e=w-D be a unit in a cubic field where w 3= D3+ 1. D~N and 2 2 n =0, 1 ..... Then z.-t,,+l-t~t.+2 and t~ = z.\_~-z.\_2z . are two comb