ENGLISH

Function field arithmetic

By Dinesh S. Thakur

Book information

Publisher
World Scientific Publishing Company
Year
2004
ISBN
9789812388391, 981-238-839-7
LCC
QA247 .T53 2004
Open Library ID
OL22614756M
Language
english
Format
DJVU
Filesize
6 MB (6583370 bytes)
Pages
405\405
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in ‘Basic Structures of Function Field Arithmetic’ by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.

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