Asymptotic Valuations of Sequences Satisfying First Order Recurrences

نویسندگان

  • TEWODROS AMDEBERHAN
  • LUIS A. MEDINA
  • VICTOR H. MOLL
چکیده

Let tn be a sequence that satisfies a first order homogeneous recurrence tn = Q(n)tn−1, where Q ∈ Z[n]. The asymptotic behavior of the p-adic valuation of tn is described under the assumption that all the roots of Q in Z/pZ have nonvanishing derivative.

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تاریخ انتشار 2008