Linear Recurrent Sequences

Masum Billal () and Samin Riasat

Chapter Chapter 2 in Integer Sequences, 2021, pp 29-55 from Springer

Abstract: Abstract In this chapter, we discuss linear recurrent sequences over a field. We give results on when such a sequence is periodic and obtain an upper bound on the length of the period, as well as show how to produce this bound. Finally, we discuss the theory developed by Morgan Ward on the periodicity of such sequences with the help of the double modulus. We will see a lot of results that are of fundamental importance in this theory.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-16-0570-3_2

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DOI: 10.1007/978-981-16-0570-3_2

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