Bulletin of the American Mathematical Society

MathSciNet review: 1566994
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Book Information:

Author: János Galambos
Title: Representations of real numbers by infinite series
Additional book information: Lecture Notes in Math., vol. 502, Springer-Verlag, Berlin, Hiedelberg, New York, 1976, vi + 146 pp., $7.40.

János Galambos, A generalization of a theorem of Borel concerning the distribution of digits in dyadic expansions, Amer. Math. Monthly 78 (1971), 774–779. MR 313212, DOI 10.2307/2318016

J. Galambos, Probabilistic theorems concerning expansions of real numbers, Period. Math. Hungar. 3 (1973), 101–113. MR 337861, DOI 10.1007/BF02018465

János Galambos, On infinite series representations of real numbers, Compositio Math. 27 (1973), 197–204. MR 332700

Ivan Niven, Irrational numbers, The Carus Mathematical Monographs, No. 11, Mathematical Association of America; distributed by John Wiley & Sons, Inc., New York, N.Y., 1956. MR 0080123

Tibor Šalát, A remark on normal numbers, Rev. Roumaine Math. Pures Appl. 11 (1966), 53–56. MR 201386

Fritz Schweiger, Metrische Theorie einer Klasse zahlentheoretischer Transformationen, Acta Arith. 15 (1968), 1–18 (German). MR 254006, DOI 10.4064/aa-15-1-1-18

Bodo Volkmann, Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. VI, Math. Z. 68 (1958), 439–449 (German). MR 100578, DOI 10.1007/BF01160360

Bodo Volkmann, Über extreme Anormalität bei Ziffernentwicklungen, Math. Ann. 190 (1970/71), 149–153 (German). MR 280441, DOI 10.1007/BF01431497

1.

J. Galambos, A generalization of a theorem of Borel concerning the distribution of digits in dyadic expansions, Amer. Math. Monthly 78 (1971), 774-779. MR 47 # 1767. MR 0313212

2.

J. Galambos, Probabilistic theorems concerning expansions of real numbers, Period. Math. Hungar. 3 (1973), 101-113. MR 49 #2630. MR 337861

3.

J. Galambos, On infinite series representations of real numbers, Compositio Math. 27 (1973), 197-204. MR 48 #11026. MR 332700

4.

I. Niven, Irrational numbers, Cams Math. Monos., no. 11, Math. Assoc. of Amer.; distributed by Wiley, New York, 1956. MR 18, 195. MR 80123

5.

T. Šalát, A remark on normal numbers, Rev. Roumaine Math. Pures Appl. 11 (1966), 53-56. MR 34 # 1270. MR 201386

6.

F. Schweiger, Metrische Theorie einer Klasse zahlentheoretischer Transformationen, Acta Arith. 15 (1968), 1-18. MR 40 #7219. MR 254006

7.

B. Volkmann, Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. VI, Math. Z. 68 (1958), 439-449. MR 20 #7008. MR 100578

8.

B. Volkmann, Über extreme Anormalität bei Ziffernentwicklungen, Math. Ann. 190 (1970/71), 149-153. MR 43 #6161. MR 280441