Function Field Arithmetic

✍ Scribed by Dinesh S. Thakur

Publisher: World Scientific Publishing Company
Year: 2004
Tongue: English
Leaves: 405
Category: Library

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✦ 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 вЂBasic Structures of Function Field ArithmeticвЂ™ 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.

📜 SIMILAR VOLUMES

Function Field Arithmetic

📁 Function Field Arithmetic

✍ Dinesh S. Thakur 📂 Library 📅 2004 🏛 World Scientific Publishing Co Pte Ltd 🌐 English

Function Field Arithmetic

📁 Function Field Arithmetic

✍ Dinesh S. Thakur 📂 Library 📅 2004 🌐 English

Function field arithmetic

📁 Function field arithmetic

✍ Dinesh S. Thakur 📂 Library 📅 2004 🏛 World Scientific Publishing Company 🌐 English

Basic Structures of Function Field Arith

📁 Basic Structures of Function Field Arithmetic

✍ David Goss 📂 Library 📅 1996 🏛 Springer 🌐 English

Basic structures of function field arith

📁 Basic structures of function field arithmetic

✍ David Goss 📂 Library 📅 1996 🏛 Springer 🌐 English

1. Additive Polynomials -- 2. Review of Non-Archimedean Analysis -- 3. The Carlitz Module -- 4. Drinfeld Modules -- 5. T-modules -- 6. Shtukas -- 7. Sign Normalized Rank 1 Drinfeld Modules -- 8. L-series -- 9. [Gamma]-functions -- 10. Additional Topics

Basic Structures of Function Field Arith

📁 Basic Structures of Function Field Arithmetic

✍ Goss D. 📂 Library 📅 1996 🏛 Springer 🌐 English

From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with