The Hausdorff and packing measure of some digital expansions

Daniel Ingebretson

doi:10.4064/aa220124-25-11

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The Hausdorff and packing measure of some digital expansions

Volume 206 / 2022

Daniel Ingebretson Acta Arithmetica 206 (2022), 339-352 MSC: Primary 11A67; Secondary 28A78. DOI: 10.4064/aa220124-25-11 Published online: 2 January 2023

Abstract

We compute the exact Hausdorff and packing measure of sets of real numbers whose digital expansions in a given base are missing the digits beyond a given threshold.

Authors

Daniel IngebretsonDepartment of Mathematics, Statistics and Computer Science
University of Illinois at Chicago
851 S Morgan St.
322 Science and Engineering Offices (M/C 249)
Chicago, IL 60607, United States
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Publishing house / Journals and Serials / Acta Arithmetica / All issues

Acta Arithmetica

The Hausdorff and packing measure of some digital expansions

Volume 206 / 2022

Abstract

Authors

Search for IMPAN publications

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