Function field arithmetic / by Dinesh S. Thakur.

Format:

Book

Author/Creator:

Thakur, Dinesh S., 1961-

Language:

English

Subjects (All):

Algebraic fields.

Arithmetic functions.

Drinfeld modules.

Physical Description:

1 online resource (405 p.)

Edition:

1st ed.

Place of Publication:

River Edge, N.J. : World Scientific, c2004.

Language Note:

English

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.

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

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 373-388).

ISBN:

9786611872366

9781281872364

1281872369

9789812562388

9812562389

OCLC:

475932960