Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 549-551
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A. S. Kuz'min. Polynomials of maximal period over primary residue rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 2, pp. 549-551. http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a17/
@article{FPM_1995_1_2_a17,
author = {A. S. Kuz'min},
title = {Polynomials of maximal period over primary residue rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {549--551},
year = {1995},
volume = {1},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a17/}
}
TY - JOUR
AU - A. S. Kuz'min
TI - Polynomials of maximal period over primary residue rings
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1995
SP - 549
EP - 551
VL - 1
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a17/
LA - ru
ID - FPM_1995_1_2_a17
ER -
%0 Journal Article
%A A. S. Kuz'min
%T Polynomials of maximal period over primary residue rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 549-551
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_2_a17/
%G ru
%F FPM_1995_1_2_a17
The maximality criterion for the period of a polynomial over primary residue ring is proved. This criterion generalize the results of the paper [1], where the case of polynomials over $\mathbb Z_{2^n}$ was considered, to the case of arbitrary primary ring $\mathbb Z_{p^n}$. The criterion is based on the concept of “marked polynomial” introduced in [1] and allows to verify the maximality of the period of a polynomial using only its coefficients. Some sufficient conditions of maximality of the period of a polynomial over $\mathbb Z_{p^n}$ are given.
