THE p-ADIC VALUATION OF k-CENTRAL BINOMIAL COEFFICIENTS
نویسنده
چکیده
The coefficients c(n, k) defined by (1− kx) = X n≥0 c(n, k)x reduce to the central binomial coefficients `
منابع مشابه
A matrix generalization of a theorem of Fine
, for m in the range 0 ≤ m ≤ n, that are not divisible by p. We give a matrix product that generalizes Fine’s formula, simultaneously counting binomial coefficients with p-adic valuation α for each α ≥ 0. For each n this information is naturally encoded in a polynomial generating function, and the sequence of these polynomials is p-regular in the sense of Allouche and Shallit. We also give a fu...
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