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Zbl 0575.28004
Bumby, Richard T.
Hausdorff dimension of sets arising in number theory. (English)
[A] Number theory, Semin. New York 1983-84, Lect. Notes Math. 1135, 1-8 (1985).

[For the entire collection see Zbl 0553.00003.] \par Expository paper, explaining the method used by the author [J. Reine Angew. Math. 331, 192-206 (1982; Zbl 0468.10032)], in particular, for his estimate on the Hausdorff dimension of the set of real numbers with partial quotients 1 or 2, and the relation of this method to the work of other authors. He expresses his hope that the scope of this method of "spectral analysis" will reach beyond the usual number-theoretical applications.
[B.Volkmann]

MSC 2000:: *28A12 Measures and their generalizations
11J70 Continued fractions and generalizations
28A75 Geometric measure theory
11K16 Normal numbers, etc.
11K55 Metric theory of other number-theoretic algorithms and expansions

Keywords: digit expansions; continued fractions; Hausdorff dimension; spectral analysis; number-theoretical applications

Citations: Zbl 0553.00003; Zbl 0468.10032

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