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On the stufe of quartic fields

✍ Scribed by J.C. Parnami; M.K. Agrawal; A.R. Rajwade

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
161 KB
Volume
38
Category
Article
ISSN
0022-314X

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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