دورية أكاديمية
An exponentially shrinking problem
| العنوان: | An exponentially shrinking problem |
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| المؤلفون: | Mumtaz Hussain, J Shi |
| سنة النشر: | 2024 |
| مصطلحات موضوعية: | Applied mathematics, Approximation theory and asymptotic methods, Numerical and computational mathematics, Pure mathematics, Liminf sets, Jarnik-Besicovitch theorem, Hausdorff dimension, Simultaneous approximation, Multiplicative approximation |
| الوصف: | The Jarník-Besicovitch theorem is a fundamental result in metric number theory which concerns the Hausdorff dimension for some limsup sets. We investigate a related problem of estimating the Hausdorff dimension of a liminf set. Let τ>0 and {qj}j≥1 be a sequence of integers. We calculate the Hausdorff dimension of the set Λdθ(τ)={x∈[0,1)d:‖qjxi−θi‖ |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | unknown |
| العلاقة: | https://figshare.com/articles/journal_contribution/An_exponentially_shrinking_problem/24589545Test |
| DOI: | 10.26181/24589545.v1 |
| الإتاحة: | https://doi.org/10.26181/24589545.v1Test https://figshare.com/articles/journal_contribution/An_exponentially_shrinking_problem/24589545Test |
| حقوق: | CC BY 4.0 |
| رقم الانضمام: | edsbas.73F2E36C |
| قاعدة البيانات: | BASE |
| DOI: | 10.26181/24589545.v1 |
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