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https://opal.latrobe.edu.au/authors/Philip_Bos/9479297
RSS feed for Figshare Profile Philip Bos<![CDATA[Contributions to Uniform Diophantine Approximation]]>https://opal.latrobe.edu.au/articles/thesis/Contributions_to_Uniform_Diophantine_Approximation/14227250
https://opal.latrobe.edu.au/articles/thesis/Contributions_to_Uniform_Diophantine_Approximation/14227250
Wed, 17 Mar 2021 04:25:42 GMT<![CDATA[The sets of Dirichlet non-improvable numbers versus well-approximable numbers]]>https://opal.latrobe.edu.au/articles/journal_contribution/The_sets_of_Dirichlet_non-improvable_numbers_versus_well-approximable_numbers/13520165
https://opal.latrobe.edu.au/articles/journal_contribution/The_sets_of_Dirichlet_non-improvable_numbers_versus_well-approximable_numbers/13520165
is related with the classical set of -approximable numbers in the sense that. Both of these sets enjoy the same -dimensional Hausdorff measure criterion for. We prove that the set is uncountable by proving that its Hausdorff dimension is the same as that for the sets and. This gives an affirmative answer to a question raised by Hussain etA al [Hausdorff measure of sets of Dirichlet non-improvable numbers. MathematikaA 64(2) (2018), 502-518].]]>Wed, 06 Jan 2021 01:32:30 GMT