Improved bounds for the number of occurrences of elements in linear recurrence sequences over Galois rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 7, pp. 97-115
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We establish bounds for the number of occurrences of elements on segments of linear recurrence sequences of vectors over Galois rings. We use the method of exponential sums for this problem. We improve known results with the help of a new class of exponential sums.
@article{FPM_2012_17_7_a5,
author = {O. V. Kamlovskii},
title = {Improved bounds for the number of occurrences of elements in linear recurrence sequences over {Galois} rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {97--115},
publisher = {mathdoc},
volume = {17},
number = {7},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a5/}
}
TY - JOUR AU - O. V. Kamlovskii TI - Improved bounds for the number of occurrences of elements in linear recurrence sequences over Galois rings JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2012 SP - 97 EP - 115 VL - 17 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a5/ LA - ru ID - FPM_2012_17_7_a5 ER -
%0 Journal Article %A O. V. Kamlovskii %T Improved bounds for the number of occurrences of elements in linear recurrence sequences over Galois rings %J Fundamentalʹnaâ i prikladnaâ matematika %D 2012 %P 97-115 %V 17 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a5/ %G ru %F FPM_2012_17_7_a5
O. V. Kamlovskii. Improved bounds for the number of occurrences of elements in linear recurrence sequences over Galois rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 7, pp. 97-115. http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a5/