UID:
edocfu_9959246176502883
Format:
1 online resource (488 p.)
Edition:
Reprint 2011
ISBN:
3-11-088905-6
Series Statement:
de Gruyter studies in mathematics ; 12
Content:
No detailed description available for "Transcendental Numbers".
Note:
Description based upon print version of record.
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Front matter --
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Foreword /
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Preface to the English edition --
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Preface --
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Notation --
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Introduction --
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Chapter 1: Approximation of real and algebraic numbers --
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Chapter 2: Arithmetic properties of the values of the exponential function at algebraic points --
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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 --
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Chapter 4: Transcendence and algebraic independence of the values of Ε-functions which are connected by algebraic equations over the field of rational functions --
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Chapter 5: Transcendence and algebraic independence of the values of Ε-functions which satisfy first order linear differential equations --
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Chapter 6: Algebraic independence of the values of E-functions which satisfy second order linear differential equations --
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Chapter 7: Solutions of certain linear differential equations of arbitrary order --
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Chapter 8: Arithmetic methods applied to solutions of linear differential equations of arbitrary order --
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Chapter 9: Siegel's Theorem --
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Chapter 10: Solutions of linear differential equations of prime order p --
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Chapter 11: The algebraic independence measure of values of IE-functions --
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Chapter 12: The algebraic independence measure of values of KE-functions --
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Chapter 13: Effective bounds for measures --
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Concluding remarks --
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Supplementary remarks on recent work for the English edition --
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Biblio graphy --
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Backmatter
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Issued also in print.
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English
Additional Edition:
ISBN 3-11-011568-9
Language:
English
DOI:
10.1515/9783110889055
