Screen LibraryTranscendental numbers /
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Group Author: | ; |
| Published: |
De Gruyter,
|
| Publisher Address: | Berlin aBoston : |
| Publication Dates: |
2011. ©1989 |
| Literature type: | eBook |
| Language: | English |
| Series: |
De Gruyter studies in mathematics ;
volume 12 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110889055 http://www.degruyter.com/doc/cover/9783110889055.jpg |
| Carrier Form: | 1 online resource (xix, 466 pages). |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9783110889055 |
| Index Number: | QA247 |
| CLC: | O156.6 |
| 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 -functions which are not connected by algebraic equations over the field of rational functions -- Chapter 4: Transcendence and algebraic independence of the values of -functions which are connected by algebraic equations over the field of rational functions -- Chapter 5: Transcendence and algebraic independence of the values of -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 |