On the growth of recurrence sequences-Reference-Cited by-同舟云学术

On the growth of recurrence sequences

Published:1977-05 Issue:3 Volume:81 Page:369-376
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Loxton J. H.,van der Poorten A. J.

Abstract

In this note, we discuss some questions on the arithmetic properties of recurrence sequences. Our primary purpose is to mention some methods which originated as lemmas in certain transcendence studies, but in order to give context to these ideas, we briefly review other techniques applicable to the problems considered. These problems concern the distribution of zeros in a recurrence, the rate of growth of its terms and the size of the greatest prime factor of the terms.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference27 articles.

1. (22) Stewart C. L. On the divisors of Fermat, Fibonacci, Lucas and Lehmer numbers. (To appear.)

2. Corrigendum to the papers "On two theorems of Gelfond and some of their applications" and "On primitive prime factors of Lehmer numbers III"

3. A factorisation theory for functions;Ritt;Trans. Amer. Math. Soc.,1927

4. On the Taylor coefficients of rational functions

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Explicit Form of Cassels’ p-adic Embedding Theorem for Number Fields;Canadian Journal of Mathematics;2015-10-01

2. On linear recurrence sequences with polynomial coefficients;Glasgow Mathematical Journal;1996-05

3. Linear forms in Lucas numbers;Indagationes Mathematicae;1993

4. Some arithmetic properties of recurrence sequences;Mathematical Notes of the Academy of Sciences of the USSR;1990-06

5. Simultaneous Pellian equations;Mathematical Proceedings of the Cambridge Philosophical Society;1988-01