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A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries
positive density finite field geometries
2010/12/9
We show that if E ⊂ Fdq , the d-dimensional vector space over the finite field with q elements,and |E| ≥ qd, where q−1 2 ≪ ≤ 1, then E contains an isometric copy of at least cd&#...