Representations of Real Numbers by Infinite Series (Lecture Notes in Mathematics 502) (1976)

The algorithms.- Questions of rationality and irrationality.- Some concepts and tools from probability theory.- Metric theory of representations with stochastically independent digits.- A survey on the applications of ergodic theory to series representations.- Metric theory in the general case.- The hausdorff dimension of certain sets related to series expansions.- Miscellaneous topics.