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Applications of curves over finite fields : [electronic resource] 1997 AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields, July 27-31, 1997, University of Washington, Seattle / Michael D. Fried, editor.

By: AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves over Finite Fields (1997 : University of Washington)Contributor(s): Fried, Michael D, 1942-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 245.Publication details: Providence, R.I. : American Mathematics Society, c1999Description: 1 online resource (xxiii, 226 p.)ISBN: 9780821878354 (online)Subject(s): Finite fields (Algebra) -- Congresses | Curves, Algebraic -- CongressesAdditional physical formats: Applications of curves over finite fields :DDC classification: 512/.74 LOC classification: QA247.3 | .A64 1997Online resources: Contents | Contents

Contents:

Curve sequences with asymptotically many rational points / Harald Niederreiter and Chaoping Xing -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03717 Shimura curves over finite fields and their rational points / Yasutaka Ihara -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03718 Distribution of minimal ideals in imaginary quadratic function fields / David R. Hayes -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03719 Division points of Drinfeld modules and special values of Weil $L$-functions / Zesen Chen -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03720 Constructing curves over finite fields with many points by solving linear equations / Gerard van der Geer and Marcel van der Vlugt -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03721 On maximal curves having classical Weierstrass gaps / Arnaldo Garcia and Fernando Torres -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03722 Twice more nice equations for nice groups / Shreeram S. Abhyankar and Paul A. Loomis -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03724 Linearized algebra and finite groups of Lie type. I. Linear and symplectic groups / Noam D. Elkies -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03725 Regular realization of abelian groups with controlled ramification / Pierre D�ebes -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03726 On reduction of covers of arithmetic surfaces / Michel Emsalem -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03727 Function field sieve method for discrete logarithms over finite fields / Leonard M. Adleman and Ming-Deh Huang -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03728 A quick introduction to Dwork's conjecture / Daqing Wan -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03730 On the degree of the zeta function of a complete intersection / Alan Adolphson and Steven Sperber -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03731 The modular points of a genus $2$ quotient of $X_0(67)$ / Franck Lepr�evost -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03732 Function fields: arithmetic and applications / Ching-Li Chai and Wen-Ching Winnie Li -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03733 Spanning trees in subgraphs of lattices / Fan Chung -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03734 Average rank for elliptic curves and a conjecture of Nagao / Michael Rosen -- http://www.ams.org/conm/245/ http://dx.doi.org/10.1090/conm/245/03735

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11527

Includes bibliographical references.

Curve sequences with asymptotically many rational points / Harald Niederreiter and Chaoping Xing -- Shimura curves over finite fields and their rational points / Yasutaka Ihara -- Distribution of minimal ideals in imaginary quadratic function fields / David R. Hayes -- Division points of Drinfeld modules and special values of Weil $L$-functions / Zesen Chen -- Constructing curves over finite fields with many points by solving linear equations / Gerard van der Geer and Marcel van der Vlugt -- On maximal curves having classical Weierstrass gaps / Arnaldo Garcia and Fernando Torres -- Twice more nice equations for nice groups / Shreeram S. Abhyankar and Paul A. Loomis -- Linearized algebra and finite groups of Lie type. I. Linear and symplectic groups / Noam D. Elkies -- Regular realization of abelian groups with controlled ramification / Pierre D�ebes -- On reduction of covers of arithmetic surfaces / Michel Emsalem -- Function field sieve method for discrete logarithms over finite fields / Leonard M. Adleman and Ming-Deh Huang -- A quick introduction to Dwork's conjecture / Daqing Wan -- On the degree of the zeta function of a complete intersection / Alan Adolphson and Steven Sperber -- The modular points of a genus $2$ quotient of $X_0(67)$ / Franck Lepr�evost -- Function fields: arithmetic and applications / Ching-Li Chai and Wen-Ching Winnie Li -- Spanning trees in subgraphs of lattices / Fan Chung -- Average rank for elliptic curves and a conjecture of Nagao / Michael Rosen --