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On the number of solutions of norm form equations

✍ Scribed by A. Bérczes


Book ID
110334923
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
354 KB
Volume
43
Category
Article
ISSN
0031-5303

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On the resolution of index form equation
✍ István Gaál; Attila Pethő; Michael Pohst 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 570 KB

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