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Representations of Real Numbers by Infinite Series

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Author(s): Prof. János Galambos (auth.)
Series: Lecture Notes in Mathematics 502
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1976

Language: English
Pages: 148
City: Berlin; New York
Tags: Mathematics, general

Introduction....Pages 1-3
The algorithms....Pages 4-20
Questions of rationality and irrationality....Pages 21-31
Some concepts and tools from probability theory....Pages 32-49
Metric theory of representations with stochastically independent digits....Pages 50-69
A survey on the applications of ergodic theory to series representations....Pages 70-82
Metric theory in the general case....Pages 83-109
The hausdorff dimension of certain sets related to series expansions....Pages 110-119
Miscellaneous topics....Pages 120-134