Includes bibliographical references.

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 unctions ; Constructing curves over finite fields with many points by solving linear equations ; On maximal curves having classical Weierstrass gaps ; 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 ; A quick introduction to Dwork's conjecture ; On the degree of the zeta function of a complete intersection ; The modular points of a genus quotient of _0(67) ; Function fields: arithmetic and applications ; Spanning trees in subgraphs of lattices ; Average rank for elliptic curves and a conjecture of Nagao Harald Niederreiter and Chaoping Xing ; Yasutaka Ihara ; David R Hayes ; Zesen Chen ; Gerard van der Geer and Marcel van der Vlugt ; Arnaldo Garcia and Fernando Torres ; Shreeram S Abhyankar and Paul A Loomis ; Noam D Elkies ; Pierre Debes ; Michel Emsalem ; Leonard M Adleman and MingDeh Huang ; Daqing Wan ; Alan Adolphson and Steven Sperber ; Franck Leprevost ; ChingLi Chai and WenChing Winnie Li ; Fan Chung ; Michael Rosen