| Description |
1 online resource (xv, 388 pages) |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 373-388). |
| 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. |
| Summary |
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 problems. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Algebraic fields.
|
|
Algebraic fields. |
|
Arithmetic functions.
|
|
Arithmetic functions. |
|
Drinfeld modules.
|
|
Drinfeld modules. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Thakur, Dinesh S., 1961- Function field arithmetic. River Edge, N.J. : World Scientific, ©2004 9812388397 (DLC) 2004041975 (OCoLC)54677693 |
| ISBN |
9812562389 (electronic book) |
|
9789812562388 (electronic book) |
|
9789812388391 (alkaline paper) |
|
9812388397 (alkaline paper) |
|
