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On the Best Form of Index Number

✍ Scribed by Royal Meeker


Book ID
123891417
Publisher
American Statistical Association
Year
1921
Tongue
English
Weight
693 KB
Volume
17
Category
Article
ISSN
1522-5445

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The Best Form of Index Number
✍ Irving Fisher πŸ“‚ Article πŸ“… 1921 πŸ› American Statistical Association 🌐 English βš– 501 KB
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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