Function field arithmetic /

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This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Thakur, Dinesh S., 1961-
Format: Electronic eBook
Language:Inglés
Published: River Edge, N.J. : World Scientific, ©2004.
Subjects:
Algebraic fields.
Arithmetic functions.
Drinfeld modules.
Algebraic stacks.
Corps algébriques.
Fonctions arithmétiques.
Modules de Drinfeld.
MATHEMATICS > Algebra > Intermediate.
Algebraic stacks
Algebraic fields
Arithmetic functions
Drinfeld modules
Online Access:Texto completo
Table of Contents:
  • Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography.

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