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The Arithmetic of Function Fields : Proceedings of the Workshop at the Ohio State University, June 17-26 1991.

By: Contributor(s): Material type: TextTextSeries: Ohio State University Mathematical Research Institute PublicationsPublisher: Berlin/Boston : Walter de Gruyter GmbH, 1992Copyright date: ©1992Edition: 1st edDescription: 1 online resource (492 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110886153
Subject(s): Genre/Form: Additional physical formats: Print version:: The Arithmetic of Function FieldsLOC classification:
  • QA247.3.A7
Online resources:
Contents:
Intro -- 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.
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Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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