| Title:
|
Boundedly expressible sets (English) |
| Author:
|
Hančl, Jaroslav |
| Author:
|
Šustek, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
649-654 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a given sequence a boundedly expressible set is introduced. Three criteria concerning the Hausdorff dimension of such sets are proved. (English) |
| Keyword:
|
expressible set |
| Keyword:
|
Hausdorff dimension. |
| MSC:
|
11K55 |
| MSC:
|
28A78 |
| idZBL:
|
Zbl 1207.11080 |
| idMR:
|
MR2545647 |
| . |
| Date available:
|
2010-07-20T15:32:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140507 |
| . |
| Reference:
|
[1] Bernik, V. I., Dodson, M. M.: Metric Diophantine Approximation on Manifolds.Cambridge University Press Cambridge (1999). Zbl 0933.11040, MR 1727177 |
| Reference:
|
[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 |
| Reference:
|
[3] Hančl, J.: Expression of real numbers with the help of infinite series.Acta Arith. 59 (1991), 97-104. MR 1133951, 10.4064/aa-59-2-97-104 |
| Reference:
|
[4] Hančl, J., Štěpnička, J.: On the trancendence of some infinite series.Glasg. Math. J. 50 (2008), 33-37. MR 2381729, 10.1017/S0017089507003989 |
| . |
