FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 2, PAGES 553-556

Binomial presentation of linear recurring sequences

V.L.Kurakin

It is proved that any linear recurring sequence over commutative local Artinian ring R can be presented as a linear combination of binomial sequences over some Galois extension S of R. If the roots of the binomial sequences belong to the fixed coordinate set of S, then this presentation is unique.

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