On the divisibility of the rank of appearance of a Lucas sequence

Let U = (Un)n≥0 be a Lucas sequence and, for every prime number p, let ρU(p) be the rank of appearance of p in U, that is, the smallest positive integer k such that p divides Uk, whenever it exists. Furthermore, let d be an odd positive integer. Under some mild hypotheses, we prove an asymptotic for...

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Bibliographic Details
Main Author: Sanna, C. (Author)
Format: Article
Language:English
Published: World Scientific 2022
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Online Access:View Fulltext in Publisher