1.

Record Nr.

UNINA9910461998003321

Titolo

The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen

Pubbl/distr/stampa

Berlin ; ; New York, : W. de Gruyter, 1992

ISBN

3-11-088615-4

Edizione

[Reprint 2011]

Descrizione fisica

1 online resource (492 p.)

Collana

Ohio State University Mathematical Research Institute Publications ; ; 2

Altri autori (Persone)

GossDavid <1952->

HayesDavid (David R.)

RosenMichael I <1938-> (Michael Ira)

Disciplina

512/.74

Soggetti

Algebraic fields

Drinfeld modules

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Front matter -- Preface -- A Brief Introduction to Drinfeld Modules / Hayes, David R. -- Galois Calculus and Carlitz Exponentials / Hellegouarch, Y. -- A Two-Dimensional Analogue of Stickelberger's Theorem / Anderson, G. W. -- On Gamma Functions for Function Fields / Thakur, D. S. -- Groups of Elliptic Units in Global Function Fields / Oukhaba, H. -- Class Number "Parity" for Cyclic Function Fields / Feng, Keqin -- Genus Two Hyperelliptic Drinfeld Modules over F2 / Dummit, D. S. -- A Short Introduction to Rigid Analytic Spaces / Goss, David -- Lecture on Rigid Geometry / Reversat, Marc -- Moduli for Drinfeld Modules / Gekeler, E. - U. -- Ramifications Arising from Drinfeld Modules / Taguchi, Yuichiro -- Rigid Analytic Modular Forms: An Integral Transform Approach / Teitelbaum, Jeremy -- Some Results on the Jacobians of Drinfeld Modular Curves / Gekeler, E.-U. / Reversat, M. -- Some Integrals Attached to Modular Forms in the Theory of Function Fields / Goss, David -- Transcendence in Finite Characteristic / Yu, Jing -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld / Thiery, Alain -- Géométrie Diophantienne sur les Modules de Drinfeld / Denis, L. -- Transcendence Properties of Carlitz



Zeta-values / Damamme, G. -- L-series of t-motives and Drinfeld Modules / Goss, David -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields / Chapman, R. J. -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law / de Shalit, E. -- The Circle Method and the Strict Waring Problem in Function Fields / Car, M. -- Ramsey's Theorem and Waring's Problem for Algebras over Fields / Vaserstein, L. N. -- Sums of Three Cubes / Payne, G. / Vaserstein, L. -- Heights and Zeta Functions in Function Fields / Wan, Daqing -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields / Friesen, C. -- Dictionary / Goss, David -- Backmatter