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Functional tilings and the Coven-Meyerowitz tiling conditions

Functional tilings and the Coven-Meyerowitz tiling conditions

Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conjecture is reduced to sets which tile a finite cyclic group $\mathbb{Z}_M$. In this paper we consider a natural relaxation of this problem, where we …