Can I read Transcendental Numbers (Studies in Mathematics, Vol 12) (de Gruyter Studies in Mathematics) on EtoBox?

Transcendental Numbers (Studies in Mathematics, Vol 12) (de Gruyter Studies in Mathematics) by Andrei Borisovich Shidlovskii is a nonfiction available to read on EtoBox.

What is Transcendental Numbers (Studies in Mathematics, Vol 12) (de Gruyter Studies in Mathematics) about?

This book is devoted to one of the directions of research in the theory of transcen- dental numbers. It includes an exposition of the fundamental results concerning the arithmetic properties of the values of E-functions which satisfy linear differ- ential equations with coefficients in the field of rational functions. The notion of an E-function was introduced in 1929 by Siegel, who created a method of proving transcendence and algebraic independence of the values of such functions. An E-function is an entire function whose Taylor series coeffi- cients with respect to z are algebraic numbers with certain arithmetic properties. The simplest example of a transcendental E-function is the exponential function e Z . In some sense Siegel's method is a generalization of the classical Hermite- Lindemann method for proving the transcendence of e and 1f and obtaining some other results about arithmetic properties of values of the exponential function at algebraic points. In the course of the past 30 years, Siegel's method has been further developed and generalized. Many papers have appeared with general theorems on transcen- dence and algebraic independence of values of E-functions; estimate

Who reads Transcendental Numbers (Studies in Mathematics, Vol 12) (de Gruyter Studies in Mathematics)?

Author

Andrei Borisovich Shidlovskii

Publisher

Walter de Gruyter & Co

Published

1989

Language

EN

ISBN

9783110889055

Category

nonfiction

Subjects

Mathematics, Stem