Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
type: Item
instance of: scholarly article
title: Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
zbMATH Open document ID: 0689.10043
author: A. B. Shidlovskii
published in: De Gruyter Studies in Mathematics
publication date: 1993-06-05T00:00:00Z
review text: This English translation of \textit{A. B. Shidlovskii's} book on ``Transcendental Numbers'' is essentially identical in content with the Russian original published in 1987 and reviewed by K. Väänänen in Zbl 0629.10026. Some misprints and inaccuracies have been removed, and some interesting new contributions made since the publication of the original version are summarized in an appendix (of 8 pages) at the end of the book. Also the original bibliography is completed by 25 items which appeared between 1983 and 1988. Last but not least W. D. Brownawell's foreword to the English translation should be mentioned where the reader will find some illuminating comments on the very last development as well as five of the outstanding complexes of open problems in the topic covered by this book.
reviewed by: Peter Bundschuh
Mathematics Subject Classification ID: 11J81
zbMATH DE Number: 194475
zbMATH Keywords: arithmetic properties of E-functions
zbMATH Keywords: measures of transcendence
zbMATH Keywords: algebraic independence
zbMATH Keywords: values of E-functions at algebraic points
zbMATH Keywords: linear differential equations
zbMATH Keywords: Kummer functions
zbMATH Keywords: Bessel functions
zbMATH Keywords: quantitative results
zbMATH Keywords: IE-functions
zbMATH Keywords: KE-function
zbMATH Keywords: Siegel's method
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 194475