Table of Contents: Function field arithmetic /

Main Author:	Thakur, Dinesh S., 1961-
Format:	Book
Language:	English
Published:	River Edge, N.J. : World Scientific, ©2004.
Subjects:	Algebraic fields. Arithmetic functions. Drinfeld modules. MATHEMATICS > Algebra > Intermediate.
Online Access:	http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=129828

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.