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math.CO2022★ 1 cited
The Coven-Meyerowitz tiling conditions for 3 prime factors: the even case
Izabella Laba, Itay Londner
We consider finite sets tiles the integers by translations. By periodicity, any such tiling is equivalent to a factorization of a fini…
math.CA2022
Vanishing sums of roots of unity and the Favard length of self-similar product sets
Izabella Laba, Caleb Marshall
We improve a special case of the Lam-Leung lower bound on the number of elements in a vanishing sum of -th roots of unity. Using this result, we extend the Favard length estimat…