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math.CO2015
On the Number of Dot Products Determined by a Large Set and One of its Translates in Finite Fields
Giorgis Petridis
Let be a set in the 2-dimensional vector space over a finite field with elements, which satisfies . There exist such that $|E…
math.CA2015★ 5 cited
Tiling sets and spectral sets over finite fields
C. Aten, B. Ayachi, E. Bau +14
We study tiling and spectral sets in vector spaces over prime fields. The classical Fuglede conjecture in locally compact abelian groups says that a set is spectral if and only if…