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Anders Wimans On the Application of Tschirnhaus Transformations to the Reduction of Algebraic Equations

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 نشر من قبل Alexander Sutherland
 تاريخ النشر 2021
  مجال البحث
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This is an English translation of Anders Wimans classical paper {U}ber die Anwendung der Tschirnhausen Transformation auf die Reduktion algebraischer Gleichungen from 1927. The original work first appeared in the 1927 extraordinary edition of Nova Acta Regiae Societatis Scientiarum Upsaliensis. In this paper, Wiman gives an argument that the general polynomial of degree nine can be solved using one algebraic function of four variables and accessory irrationalities of degree at most five. However, his argument assumes certain intersections in affine space are generic without proof.



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