
The Arithmetic of Function Fields
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Content
- 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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