Asymptotic valuations of sequences satisfying first order recurrences
Number Theory
2007-09-17 v1
Abstract
Let t[n] be a sequence that satisfies a first order homogeneous recurrence t[n] = Q[n]*t[n-1], where Q is a polynomial with integer coefficients. The asymptotic behavior of the p-adic valuation of t[n] is described under the assumption that all the roots of Q in Z/pZ have nonvanishing derivative.
Cite
@article{arxiv.0709.2289,
title = {Asymptotic valuations of sequences satisfying first order recurrences},
author = {T. Amdeberhan and L. Medina and Victor H. Moll},
journal= {arXiv preprint arXiv:0709.2289},
year = {2007}
}
Comments
10 pages, 3 figures