The Arithmetic of Function Fields : : Proceedings of the Workshop at the Ohio State University, June 17-26, 1991 / / ed. by David Goss, David R. Hayes, Michael Rosen.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Anderson, G. W.,; Car, M.,; Chapman, R. J.,; Damamme, G.,; Denis, L.,; Dummit, D. S.,; Feng, Keqin,; Friesen, C.,; Gekeler, E. - U.,; Gekeler, E.-U.,; Goss, David,; Hayes, David R.,; Hellegouarch, Y.,; Oukhaba, H.,; Payne, G.,; Reversat, M.,; Reversat, Marc,; Taguchi, Yuichiro,; Teitelbaum, Jeremy,; Thakur, D. S.,; Thiery, Alain,; Vaserstein, L. N.,; Vaserstein, L.,; Wan, Daqing,; Yu, Jing,; de Shalit, E.,
• HerausgeberIn: Goss, David,; Hayes, David R.,; Rosen, Michael,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1992
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: Ohio State University Mathematical Research Institute Publications , 2
• Physical Description: 1 online resource (482 p.) :; Num. figs.

Table of Contents

Frontmatter -- Preface -- A Brief Introduction to Drinfeld Modules -- Galois Calculus and Carlitz Exponentials -- A Two-Dimensional Analogue of Stickelberger's Theorem -- On Gamma Functions for Function Fields -- Groups of Elliptic Units in Global Function Fields -- Class Number “Parity” for Cyclic Function Fields -- Genus Two Hyperelliptic Drinfeld Modules over F2 -- A Short Introduction to Rigid Analytic Spaces -- Lecture on Rigid Geometry -- Moduli for Drinfeld Modules -- Ramifications Arising from Drinfeld Modules -- Rigid Analytic Modular Forms: An Integral Transform Approach -- Some Results on the Jacobians of Drinfeld Modular Curves -- Some Integrals Attached to Modular Forms in the Theory of Function Fields -- Transcendence in Finite Characteristic -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld -- Géométrie Diophantienne sur les Modules de Drinfeld -- Transcendence Properties of Carlitz Zeta-values -- L-series of t-motives and Drinfeld Modules -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law -- The Circle Method and the Strict Waring Problem in Function Fields -- Ramsey's Theorem and Waring's Problem for Algebras over Fields -- Sums of Three Cubes -- Heights and Zeta Functions in Function Fields -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields -- Dictionary -- Backmatter