Infinity of Zeros of Recurrence Sequences

S. Kaouache, T. Zerzaihi

Abstract


The purpose of this work is to study the zeros of linear recurrence sequence, with constant coefficients. We give a simple proof of well known Skolem-Mahler-Lech theorem. The advantage of this work is similar to the one done by V. Halava and collaborators, but in a simple way. We study the problem when the general term of the recurrent sequence is of exponential polynomial with some initial conditions that simplify the problem.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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