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Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II - MaRDI portal

Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II (Q946873)

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scientific article; zbMATH DE number 5347265
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English
Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II
scientific article; zbMATH DE number 5347265

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    Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II (English)
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    25 September 2008
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    This is a sequel of the paper [Finite Fields Appl. 11, No. 1, 30--44 (2005; Zbl 1092.11047)]. In the first part, the authors proved for all primes \(p\geq 5\) that the distribution of the element zero in a level sequence is unique. Now they give a proof for \(p=3\) (whose techniques are very different from those used in the first part).
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    integer residue ring
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    linear recurring sequences
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    primitive sequences
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    level sequences
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