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Applications of Curves over Finite Fields
About this Title
Michael D. Fried, Editor
Publication: Contemporary Mathematics
Publication Year:
1999; Volume 245
ISBNs: 978-0-8218-0925-9 (print); 978-0-8218-7835-4 (online)
DOI: https://doi.org/10.1090/conm/245
MathSciNet review: 1739853
Table of Contents
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Front/Back Matter
Beyond Weil bounds; curves with many rational points
- Harald Niederreiter and Chaoping Xing – Curve sequences with asymptotically many rational points [MR 1732223]
- Yasutaka Ihara – Shimura curves over finite fields and their rational points [MR 1732224]
- David R. Hayes – Distribution of minimal ideals in imaginary quadratic function fields [MR 1732225]
- Zesen Chen – Division points of Drinfeld modules and special values of Weil $L$-functions [MR 1732226]
- Gerard van der Geer and Marcel van der Vlugt – Constructing curves over finite fields with many points by solving linear equations [MR 1732227]
- Arnaldo Garcia and Fernando Torres – On maximal curves having classical Weierstrass gaps [MR 1732228]
Monodromy groups of characteristic $p$ covers
- Shreeram S. Abhyankar and Paul A. Loomis – Twice more nice equations for nice groups [MR 1732229]
- Noam D. Elkies – Linearized algebra and finite groups of Lie type. I. Linear and symplectic groups [MR 1732230]
- Pierre Dèbes – Regular realization of abelian groups with controlled ramification [MR 1732231]
- Michel Emsalem – On reduction of covers of arithmetic surfaces [MR 1732232]
- Leonard M. Adleman and Ming-Deh Huang – Function field sieve method for discrete logarithms over finite fields [MR 1732233]
Zeta functions and trace formulas
- Daqing Wan – A quick introduction to Dworkâs conjecture [MR 1732234]
- Alan Adolphson and Steven Sperber – On the degree of the zeta function of a complete intersection [MR 1732235]
- Franck Leprévost – The modular points of a genus $2$ quotient of $X_0(67)$ [MR 1732236]
- Ching-Li Chai and Wen-Ching Winnie Li – Function fields: arithmetic and applications [MR 1732102]
- Fan Chung – Spanning trees in subgraphs of lattices [MR 1732103]
- Michael Rosen – Average rank for elliptic curves and a conjecture of Nagao [MR 1732104]