The Klein Quartic in Number Theory

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The Klein Quartic in Number Theory

Show simple item record Elkies, Noam 2009-05-12T15:15:05Z 1999
dc.identifier.citation Elkies, Noam D. The Klein quartic in number theory. In The Eightfold Way: The Beauty of Klein's Quartic Curve, ed. Sylvio Levi, 51-102. Mathematical Sciences Research Institute publications, 35. Cambridge: Cambridge University Press. en
dc.description.abstract We describe the Klein quartic <i>X</i> and highlight some of its remarkable properties that are of particular interest in number theory. These include extremal properties in characteristics 2, 3, and 7, the primes dividing the order of the automorphism group of <i>X</i>; an explicit identification of with the modular curve X(7); and applications to the class number 1 problem and the case <i>n</i>= 7 of Fermat. en
dc.description.sponsorship Mathematics en
dc.language.iso en_US en
dc.publisher Cambridge University Press en
dc.relation.isversionof en
dash.license LAA
dc.title The Klein Quartic in Number Theory en Elkies, Noam

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