The polar curves of plane algebraic curves in the Galois fields. (Q1440393)
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scientific article; zbMATH DE number 2576037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The polar curves of plane algebraic curves in the Galois fields. |
scientific article; zbMATH DE number 2576037 |
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The polar curves of plane algebraic curves in the Galois fields. (English)
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1928
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Es sei \(f(x,y,z)\) eine algebraische Kurve \(n\)-ter Ordnung, \(p\) eine Primzahl Verf untersucht in einem \textit{Galois}schen Feld der Ordnung \(p^n\) die \(r\)-te Polare des Punktes \(X, Y, Z\) in bezug auf die Kurve \(f(x,y,z)=0\), d. h. die algebraische Kurve \[ \frac{1}{r!}(f_x' \cdot X+f_y' \cdot Y +f_z' \cdot Z)^{(r)}=0, \] und zwar besonders in den Fällen \(X=1, Y=Z=0\), \(n \geqq p\).
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