17 citations · 72 across the 27 of their papers we have counts for
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math.CA2019
On sets containing a unit distance in every direction
Pablo Shmerkin, Han Yu
We investigate the box dimensions of compact sets in that contain a unit distance in every direction (such sets may have zero Hausdorff dimension). Among other resul…
math.MG2019
Approximate arithmetic structure in large sets of integers
Jonathan M. Fraser, Han Yu
We prove that if a set is `large' in the sense of Erdős, then it approximates arbitrarily long arithmetic progressions in a strong quantitative sense. More specifically, expressing…
math.NT2019★ 6 cited
Digit expansions of numbers in different bases
Stuart A. Burrell, Han Yu
A folklore conjecture in number theory states that the only integers whose expansions in base and contain solely binary digits are and . In this paper, we p…