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math.NT2024
On the minimal period of integer tilings
Izabella Łaba, Dmitrii Zakharov
If a finite set tiles the integers by translations, it also admits a tiling whose period has the same prime factors as . We prove that the minimal period of such a til…
math.NT2011★ 13 cited
Arithmetic progressions in sumsets and L^p-almost-periodicity
Ernie Croot, Izabella Laba, Olof Sisask
We prove results about the L^p-almost-periodicity of convolutions. One of these follows from a simple but rather general lemma about approximating a sum of functions in L^p, and gi…