Integers represented by Lucas sequences
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917744509714432 |
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| author | Hajdu, L. Tijdeman, R. |
| author_facet | Hajdu, L. Tijdeman, R. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integers represented by Lucas sequences Hajdu, L. Tijdeman, R. Number Theory 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. |
| title | Integers represented by Lucas sequences |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.04982 |