@article{CM_1964__16__186_0, author = {Volkmann, Bodo}, title = {On non-normal numbers}, journal = {Compositio Mathematica}, pages = {186--190}, publisher = {Kraus Reprint}, volume = {16}, year = {1964}, mrnumber = {174548}, zbl = {0142.29602}, language = {en}, url = {http://www.numdam.org/item/CM_1964__16__186_0/} }
Volkmann, Bodo. On non-normal numbers. Compositio Mathematica, Tome 16 (1964), pp. 186-190. http://www.numdam.org/item/CM_1964__16__186_0/
On the sum of digits of real numbers represented in the dyadic number system. Math. Ann. 110, 321-330 (1934). | JFM | MR | Zbl
[1]Les probabilités dénombrables et leurs applications arithmétiques. Rend. Circ. Mat. Palermo 27, 247-271 (1909). | JFM
[2]On a problem of Steinhaus, Colloq. Math. 7 (1959), 95-101. | MR | Zbl
[3]The fractional dimension of a set defined by decimal properties. Quart. J. Math. 20, 31-36 (1949). | MR | Zbl
[4]Sets of fractional dimensions which occur in some problems of number theory. Proc. London Math. Soc. 54, 42-93 (1951). | MR | Zbl
[5]Dimension und äusseres Mass. Math. Ann. 79, 157-179 (1918). | JFM | MR
[6]Dyadische Entwicklungen und Hausdorffsches Mass. Mém. Soc. Roy. Sci. Bohême, Cl. des Sciences, 1933, Nr. 14, 1-18. | Zbl
[7]On normal numbers, Pac. Journ. Math. 10, 661-672 (1960). | MR | Zbl
[8]Über Hausdorffsche Dimensionen von Mengen, die durch Zifferneigenschaften charakterisiert sind. III. Math. Z. 59, 279-290 (1953). | MR | Zbl
[9]Math. Z. 59, 425-433 (1954). | MR | Zbl
[10] IV.[11] V. Math. Z. 65, 389-413 (1956). | MR | Zbl
[12] VI. Math. Z. 68, 439-449 (1958). | MR | Zbl
Normal Numbers. Ph. D. Thesis, 1949, University of California, Berkeley, California.
[13]