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Function field arithmetic

✍ Scribed by Dinesh S. Thakur

Book ID
127418460
Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Weight
6 MB
Category
Library
ISBN
9812388397

No coin nor oath required. For personal study only.

✦ Synopsis

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 β€˜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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