On the universal tiling conjecture in dimension one
arXiv:1209.0666
Abstract
We show that the spectral-tile implication in the Fuglede conjecture in dimension 1 is equivalent to a Universal Tiling Conjecture and also to similar forms of the same implication for some simpler sets, such as unions of intervals with rational or integer endpoints.
arXiv admin note: text overlap with arXiv:1205.4351