Effective results on the Skolem Problem for linear recurrence sequences

Min Sha

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arXiv · 1505.07147

Effective results on the Skolem Problem for linear recurrence sequences

Min Sha

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Abstract

In this paper, given a simple linear recurrence sequence of algebraic numbers, which has either a dominant characteristic root or exactly two characteristic roots of maximal modulus, we give some explicit lower bounds for the index beyond which every term of the sequence is non-zero. It turns out that this case covers almost all such sequences whose coefficients are rational numbers.

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Min Sha. 2015-05-26. Effective results on the Skolem Problem for linear recurrence sequences. https://arxiv.org/abs/1505.07147

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