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Distribution properties of rows and columns for matrix linear recurrent sequences of the first order. (Russian. English summary) Zbl 1476.11027

Summary: We consider sequences of matrices over Galois ring satisfying linear recurrent equation of the first order. Estimates of the frequences of rows and columns in such sequences are obtained. These results generalize previously known bounds.

MSC:

11B37 Recurrences
11B83 Special sequences and polynomials
11T99 Finite fields and commutative rings (number-theoretic aspects)
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