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

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

Proceedings of the Workshop at the Ohio State University, June 17-26, 1991

By: David Goss (Editor), David R. Hayes (Editor), Michael I. Rosen (Editor)

Hardcover Published: 1992
ISBN: 9783110131710
Number Of Pages: 490
For Ages: 22+ years old

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These proceedings (workshop held at Ohio State U., June 1991) introduce new techniques which center on Drinfield modules and their higher dimensional analogs, t-modules. The theory of Drinfield modules has grown rapidly over the last few years, yet is unknown to most mathematicians. This volume intr

Preface
A Brief Introduction to Drinfeld Modulesp. 1
Galois Calculus and Carlitz Exponentialsp. 33
A Two-Dimensional Analogue of Stickelberger's Theoremp. 51
On Gamma Functions for Function Fieldsp. 75
Groups of Elliptic Units in Global Function Fieldsp. 87
Class Number "Parity" for Cyclic Function Fieldsp. 103
Genus Two Hyperelliptic Drinfeld Modules over F[subscript 2]p. 117
A Short Introduction to Rigid Analytic Spacesp. 131
Lecture on Rigid Geometryp. 143
Moduli for Drinfeld Modulesp. 153
Ramifications Arising from Drinfeld Modulesp. 171
Rigid Analytic Modular Forms: An Integral Transform Approachp. 189
Some Results on the Jacobians of Drinfeld Modular Curvesp. 209
Some Integrals Attached to Modular Forms in the Theory of Function Fieldsp. 227
Transcendence in Finite Characteristicp. 253
Independance Algebrique des Periodes et Quasi-periodes d'un Module de Drinfeldp. 265
Geometrie Diophantienne sur les Modules de Drinfeldp. 285
Transcendence Properties of Carlitz Zeta-valuesp. 303
L-series of t-motives and Drinfeld Modulesp. 313
Classgroups of Sheaves of Locally Free Modules over Global Function Fieldsp. 403
Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Lawp. 413
The Circle Method and the Strict Waring Problem in Function Fieldsp. 421
Ramsey's Theorem and Waring's Problem for Algebras over Fieldsp. 435
Sums of Three Cubesp. 443
Heights and Zeta Functions in Function Fieldsp. 455
Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fieldsp. 465
Dictionaryp. 475
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110131710
ISBN-10: 3110131714
Series: Ohio State University Mathematical Research Institute Publications
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 490
Published: 1992
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 23.0 x 15.5  x 3.18
Weight (kg): 0.96