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

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The Arithmetic of Function Fields

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

Edited by: David Goss , David R. Hayes and Michael Rosen

Language: English

Published/Copyright: 1992

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This book is in the series

Volume 2 | Ohio State University Mathematical Research Institute Publications

Topics

Mathematics Algebra and Number Theory

Frontmatter Requires Authentication Unlicensed Licensed	I
Preface Requires Authentication Unlicensed Licensed	V
A Brief Introduction to Drinfeld Modules David R. Hayes Requires Authentication Unlicensed Licensed	1
Galois Calculus and Carlitz Exponentials Y. Hellegouarch Requires Authentication Unlicensed Licensed	33
A Two-Dimensional Analogue of Stickelberger's Theorem G. W. Anderson Requires Authentication Unlicensed Licensed	51
On Gamma Functions for Function Fields D. S. Thakur Requires Authentication Unlicensed Licensed	75
Groups of Elliptic Units in Global Function Fields H. Oukhaba Requires Authentication Unlicensed Licensed	87
Class Number “Parity” for Cyclic Function Fields Keqin Feng Requires Authentication Unlicensed Licensed	103
Genus Two Hyperelliptic Drinfeld Modules over F2 D. S. Dummit Requires Authentication Unlicensed Licensed	117
A Short Introduction to Rigid Analytic Spaces David Goss Requires Authentication Unlicensed Licensed	131
Lecture on Rigid Geometry Marc Reversat Requires Authentication Unlicensed Licensed	143
Moduli for Drinfeld Modules E. - U. Gekeler Requires Authentication Unlicensed Licensed	153
Ramifications Arising from Drinfeld Modules Yuichiro Taguchi Requires Authentication Unlicensed Licensed	171
Rigid Analytic Modular Forms: An Integral Transform Approach Jeremy Teitelbaum Requires Authentication Unlicensed Licensed	189
Some Results on the Jacobians of Drinfeld Modular Curves E.-U. Gekeler and M. Reversat Requires Authentication Unlicensed Licensed	209
Some Integrals Attached to Modular Forms in the Theory of Function Fields David Goss Requires Authentication Unlicensed Licensed	227
Transcendence in Finite Characteristic Jing Yu Requires Authentication Unlicensed Licensed	253
Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld Alain Thiery Requires Authentication Unlicensed Licensed	265
Géométrie Diophantienne sur les Modules de Drinfeld L. Denis Requires Authentication Unlicensed Licensed	285
Transcendence Properties of Carlitz Zeta-values G. Damamme Requires Authentication Unlicensed Licensed	303
L-series of t-motives and Drinfeld Modules David Goss Requires Authentication Unlicensed Licensed	313
Classgroups of Sheaves of Locally Free Modules over Global Function Fields R. J. Chapman Requires Authentication Unlicensed Licensed	403
Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law E. de Shalit Requires Authentication Unlicensed Licensed	413
The Circle Method and the Strict Waring Problem in Function Fields M. Car Requires Authentication Unlicensed Licensed	421
Ramsey's Theorem and Waring's Problem for Algebras over Fields L. N. Vaserstein Requires Authentication Unlicensed Licensed	435
Sums of Three Cubes G. Payne and L. Vaserstein Requires Authentication Unlicensed Licensed	443
Heights and Zeta Functions in Function Fields Daqing Wan Requires Authentication Unlicensed Licensed	455
Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields C. Friesen Requires Authentication Unlicensed Licensed	465
Dictionary David Goss Requires Authentication Unlicensed Licensed	475
Backmatter Requires Authentication Unlicensed Licensed	483

Publishing information

Pages and Images/Illustrations in book

eBook published on:

June 24, 2011

eBook ISBN:

9783110886153

Hardcover published on:

November 1, 1992

Hardcover ISBN:

9783110131710

Edition:

Reprint 2011

Pages and Images/Illustrations in book

Front matter:

8

Main content:

482

Other:

Num. figs.

https://doi.org/10.1515/9783110886153

eBook ISBN: 9783110886153

Hardcover ISBN: 9783110131710

Keywords for this book

Arithmetic; Algebraischer Funktionenkörper

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The Arithmetic of Function Fields

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