Title Applications of Curves over Finite Fields

Published Providence : American Mathematical Society, 1999

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Description 1 online resource (254 p.) Series Contemporary Mathematics ; v.245 Contemporary Mathematics Contents ""Contents""; ""Applications of curves over finite fields""; ""1. Beyond Weil bounds; curves with many rational points""; ""Curve sequences with asymptotically many rational points""; ""Shimura curves over finite fields and their rational points""; ""Distribution of minimal ideals in imaginary quadratic function fields""; ""Division points of Drinfeld modules and special values of Weil L-functions""; ""Constructing curves over finite fields with many points by solving linear equations""; ""On maximal curves having classical Weierstrass gaps"" ""2. Monodromy groups of characteristic p covers""""Twice more nice equations for nice groups""; ""Linearized algebra and finite groups of Lie type: I: Linear and symplectic groups""; ""Regular realization of Abelian groups with controlled ramification""; ""On reduction of covers of arithmetic surfaces""; ""Function field sieve method for discrete logarithms over finite fields""; ""3. Zeta functions and trace formulas""; ""A quick introduction to Dwork's conjecture""; ""On the degree of the zeta function of a complete intersection""; ""The modular points of a genus 2 quotient of X0 (67)"" ""Function fields: Arithmetic and applications""""Spanning trees in subgraphs of lattices""; ""Average rank for elliptic curves and a conjecture of Nagao"" Notes Description based upon print version of record English Subject Mathematics. Physical Sciences & Mathematics. Algebra. Form Electronic book Author Fried, Michael D Contributor AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields Corporate Author ISBN 0821809253 9780821809259 9780821878354 0821878352

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 245 Applications of curves over finite fields: 1997 AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields, July 27-31, 1997, University of Washington, Seattle

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