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Function field arithmetic download ebook

by Dinesh S. Thakur

Function field arithmetic download ebook
ISBN:
9812388397
ISBN13:
978-9812388391
Author:
Dinesh S. Thakur
Publisher:
Wspc (June 1, 2004)
Language:
Pages:
404 pages
ePUB:
1458 kb
Fb2:
1517 kb
Other formats:
txt lit azw doc
Category:
Mathematics
Subcategory:
Rating:
4.2

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

Basic Structures of Function Field Arithmetic.

We give another proof of Voloch's result on transcendence of the period of the Tate elliptic curve. The proof is based on the transcendence criterion of Christol involving notions of recognizable sequences and automata. Basic Structures of Function Field Arithmetic.

Dinesh S. Thakur is a mathematician and a professor of mathematics at University of Rochester. Before moving to Rochester, Thakur was a professor at University of Arizona.

This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the . Number fields and Function fields. p. 1. Global fields: Basic analogies and contrasts. Genus and Riemann-Roch theorem.

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.

Function Field Arithmetic. Publisher: World Scientific. Dedekind and Weber, for example, wrote a book dedicated to pursuing exactly this idea, recasting the theory of algebraic functions in entirely algebraic terms, highlighting the similarity with the theory of algebraic number fields. Early in the 20th century, it became clear that this analogy is especially strong when one studies function fields in finite characteristic of transcendence degree one, that is, finite extensions of the field Fp(t) of rational functions with coefficients in the field with p elements. These are the "Function Fields" with which this book deals.

Web page for the book "Function Field Arithmetic". Will be updated occasionally. Corrections and Updates modified frequently). World Scientific Publ. Advertisement flyer . pg). Table of Contents . df). This book provides an exposition of function field arithmetic withemphasis on recent developments concerning D. ISBN10 : 9789812562388, ISBN13 : 9812562389. 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 a. More). 18. 7. View via Publisher.

Dinesh Thakur (mathematician). Harvard University University of Bombay References. Dinesh Thakur at the Mathematics Genealogy Project.

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.