Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778948 | Indagationes Mathematicae | 2017 | 16 Pages |
Abstract
In this article we study p-adic properties of sequences of integers (or p-adic integers) that satisfy a linear recurrence with constant coefficients. For such a sequence, we give an explicit approximate twisted interpolation to Zp. We then use this interpolation for two applications. The first is that certain subsequences of constant-recursive sequences converge p-adically. The second is that the density of the residues modulo pα attained by a constant-recursive sequence converges, as αââ, to the Haar measure of a certain subset of Zp. To illustrate these results, we determine some particular limits for the Fibonacci sequence.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Eric Rowland, Reem Yassawi,