# Function field arithmetic download ebook

## by **Dinesh S. Thakur**

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.