The quadratic form x2−2py2 |
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Authors: | Horst von Lienen |
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Institution: | Institut B für Mathematik, Technische Universität, 33 Braunschweig, Germany |
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Abstract: | Using known properties of continued fractions, we give a very simple and elementary proof of the theorem of Epstein and Rédei on the impossibility in a certain case of representing ?1 by the quadratic form x2 ? 2py2. Two of our theorems, which concern the representation of a2 and ?2a2, serve to extend our method to an unknown case in which ?1 is not representable. |
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