Transcendental Numbers / / Andrei B. Shidlovskii.

• Superior document: Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
• VerfasserIn: Shidlovskii, Andrei B.,
• MitwirkendeR: Brownawell, W. D.,; Koblitz, Neal,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1989
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Studies in Mathematics , 12
• Physical Description: 1 online resource (466 p.)

Table of Contents

Frontmatter -- Foreword -- Preface to the English edition -- Preface -- Notation -- Introduction -- Chapter 1: Approximation of real and algebraic numbers -- Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points -- Chapter 3: Transcendence and algebraic independence of the values of Ε-functions which are not connected by algebraic equations over the field of rational functions -- Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions -- Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations -- Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations -- Chapter 7: Solutions of certain linear differential equations of arbitrary order -- Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order -- Chapter 9: Siegel's Theorem -- Chapter 10: Solutions of linear differential equations of prime order p -- Chapter 11: The algebraic independence measure of values of IE-functions -- Chapter 12: The algebraic independence measure of values of KE-functions -- Chapter 13: Effective bounds for measures -- Concluding remarks -- Supplementary remarks on recent work for the English edition -- Bibliography -- Backmatter