Asymptotic valuations of sequences satisfying first order recurrences

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
10 pages, 3 figures

Keywords

Number Theory, 11B37, 11B50,11B83

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/138019

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2289
 http://arxiv.org/abs/0709.2289

Collections

arXiv