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The Fuglede Conjecture holds in \(\F_p^3\) for p=5,7

Published 8 Feb 2019 in math.CA and math.CO | (1902.02936v2)

Abstract: For p=5,7, we show that a subset (E \subset \F_p3) is spectral if and only if E tiles (\F_p3) by translation. Additionally, we give an alternate proof that the conjecture holds for p=3.

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