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/}
}
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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/