Open AccessInfinity of Zeros of Recurrence Sequences
Author(s) -
S. Kaouache,
Tahar Zerzaihi
Publication year - 2011
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v3n3p130
Subject(s) - mathematics , infinity , simple (philosophy) , sequence (biology) , polynomial , constant (computer programming) , exponential function , recurrence relation , work (physics) , term (time) , polynomial function theorems for zeros , pure mathematics , combinatorics , discrete mathematics , calculus (dental) , mathematical analysis , matrix polynomial , mechanical engineering , philosophy , physics , epistemology , quantum mechanics , biology , computer science , engineering , genetics , programming language , medicine , alternating polynomial , dentistry
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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