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arXiv:2408.04982 [math.NT]AbstractReferencesReviewsResources

Integers represented by Lucas sequences

L. Hajdu, R. Tijdeman

Published 2024-08-09Version 1

In this paper we study the sets of integers which are $n$-th terms of Lucas sequences. We establish lower- and upper bounds for the size of these sets. These bounds are sharp for $n$ sufficiently large. We also develop bounds on the growth order of the terms of Lucas sequences that are independent of the parameters of the sequence, which is a new feature.

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