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Article

Hančl, Jaroslav ; Šustek, Jan
Boundedly expressible sets. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 3, pp. 649-654
MSC: 11K55, 28A78 | MR 2545647 | Zbl 1207.11080
Keywords:
expressible set; Hausdorff dimension.
Summary:
For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved.
References:
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[2] Erdős, P.: Some problems and results on the irrationality of the sum of infinite series. J. Math. Sci. 10 (1975), 1-7. MR 0539489
[3] Hančl, J.: Expression of real numbers with the help of infinite series. Acta Arith. 59 (1991), 97-104. DOI 10.4064/aa-59-2-97-104 | MR 1133951
[4] Hančl, J., Štěpnička, J.: On the trancendence of some infinite series. Glasg. Math. J. 50 (2008), 33-37. DOI 10.1017/S0017089507003989 | MR 2381729
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