Ein Satz \"{U}ber die Diophantische Gleichung $Ax^{2}-By^{4}=C$ ($C=1,2,4)$

Publication date: 16 September 2022

Abstract: In this document, we provide both the original German version of Ljunggren's article, "Ein Satz "{u}ber die Diophantische Gleichung

A x^{2} - B y^{4} = C

(

C = 1, 2, 4

)", Tolfte Skand. Matematikerkongressen, Lund, 1953, pp.~188--194 (1954), as well as our English translation. It also contains a correction of his Satz 4.

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