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.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110889055; 9783110494938; 9783110635881; 9783110306569
• ISSN: 0179-0986
• DOI: 10.1515/9783110889055
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Andrei B. Shidlovskii.