Function Field Arithmetic

Dinesh S Thakur

ISBN 10: 981327011X / ISBN 13: 9789813270114

Published by World Scientific Publishing Co Pte Ltd, SG, 2004

About this Item

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.

Seller Inventory # LU-9789813270114

Bibliographic Details

• Title: Function Field Arithmetic
• Publisher: World Scientific Publishing Co Pte Ltd, SG
• Publication Date: 2004
• Language: English
• ISBN 10: 981327011X
• ISBN 13: 9789813270114
• Binding: Paperback
• Condition: New

About this title

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 '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.