On the scaled trace forms and the transfer of a number field extension
✍ Scribed by Martin Krüskemper
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 847 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We investigate the trace form tr : In particular, we study 2-extensions of degree F 16. Using some reduction theorems, these results yield a classification of nearly all trace forms of Galois extensions of degree F 31. Finally, we study the trace form of a cyclotomic extension and of its maximal re
In this paper we reduce the problem of solving index form equations in quartic number fields \(K\) to the resolution of a cubic equation \(F(u, v)=i\) and a corresponding system of quadratic equations \(Q_{1}(x, y, z)=u, Q_{2}(x, y, z)=v\), where \(F\) is a binary cubic form and \(Q_{1}, Q_{2}\) are