Spatial equidistribution of binomial coefficients modulo prime powers

Guy Barat, Peter Grabner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)151-161
JournalUniform Distribution Theory
Volume11
Issue number2
Publication statusPublished - 2016

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