An inhomogeneous Jarník theorem
We compute the generalized Hausdorff measure of sets of points in R^sup s^ which satisfy an inhomogeneous system of Diophantine inequalities infinitely often. This provides an inhomogeneous analogue of a classical result of Jarník on simultaneous Diophantine approximation.[PUBLICATION ABSTRACT]
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| Published in | Journal d'analyse mathématique (Jerusalem) Vol. 92; no. 1; pp. 327 - 349 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Jerusalem
Springer Nature B.V
01.01.2004
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We compute the generalized Hausdorff measure of sets of points in R^sup s^ which satisfy an inhomogeneous system of Diophantine inequalities infinitely often. This provides an inhomogeneous analogue of a classical result of Jarník on simultaneous Diophantine approximation.[PUBLICATION ABSTRACT] |
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| ISSN: | 0021-7670 1565-8538 |
| DOI: | 10.1007/BF02787766 |