Representations of Real Numbers by Infinite Series

Prof. János Galambos (auth.)9780387075471, 0-387-07547-X

Table of contents :
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