Abstract
The spatial distribution of binomial coefficients in residue classesmodulo prime powers is studied. It is proved inter alia that empirical distributionof the points (k, m)p−m with 0 ≤ k ≤ n < pm and nk≡ a (mod p)s(for(a, p) = 1) for m → ∞ tends to the Hausdorff measure on the “p-adic Sierpi´nskigasket”, a fractals studied earlier by von Haeseler, Peitgen, and Skordev.
Original language | English |
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Pages (from-to) | 151-161 |
Journal | Uniform Distribution Theory |
Volume | 11 |
Issue number | 2 |
Publication status | Published - 2016 |