FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 7, PAGES 97-115

**Improved bounds for the number of occurrences of elements in linear
recurrence sequences over Galois rings**

O. V. Kamlovskii

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k117/k11706h.htm

Last modified: May 24, 2013