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A sharp point-sphere incidence bound for $(u, s)$-Salem sets

math.CO · 2026-01-12 · conditional · novelty 7.0

For (4,s)-Salem point sets P in F_q^d with |P| much smaller than q to the power d over 4s, the deviation of point-sphere incidences from the average is bounded by q to the d/4 times |P| to the 1-s times |S| to the 3/4.

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  • A sharp point-sphere incidence bound for $(u, s)$-Salem sets math.CO · 2026-01-12 · conditional · none · ref 19

    For (4,s)-Salem point sets P in F_q^d with |P| much smaller than q to the power d over 4s, the deviation of point-sphere incidences from the average is bounded by q to the d/4 times |P| to the 1-s times |S| to the 3/4.