Hausdorff Measures, Dyadic Approximations and Dobi\'nski Set
Number Theory
2019-11-15 v1 Classical Analysis and ODEs
Abstract
Dobi\'nski set is an exceptional set for a certain infinite product identity, whose points are characterized as having exceedingly good approximations by dyadic rationals. We study the Hausdorff dimension and logarithmic measure of by means of the Mass Transference Principle and by the construction of certain appropriate Cantor-like sets, termed willow sets, contained in .
Cite
@article{arxiv.1911.05915,
title = {Hausdorff Measures, Dyadic Approximations and Dobi\'nski Set},
author = {Alberto Dayan and José L. Fernández and María J. González},
journal= {arXiv preprint arXiv:1911.05915},
year = {2019}
}