Integers represented by binary recursive sequences
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914906465370112 |
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| author | Hajdu, L. Tijdeman, R. |
| author_facet | Hajdu, L. Tijdeman, R. |
| contents | This paper is the continuation of \cite{htl}, where we deal with Lucas sequences. Here we study integers represented by integer sequences which satisfy binary recursive relations. In case of non-degenerate sequences we give bounds for the highest index for which a term can be 0 and bounds on the growth order of the absolute values of the terms, both only in terms of the two initial values, which is a novel feature. Some of these bounds are best possible apart from a multiplicative constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04986 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integers represented by binary recursive sequences Hajdu, L. Tijdeman, R. Number Theory This paper is the continuation of \cite{htl}, where we deal with Lucas sequences. Here we study integers represented by integer sequences which satisfy binary recursive relations. In case of non-degenerate sequences we give bounds for the highest index for which a term can be 0 and bounds on the growth order of the absolute values of the terms, both only in terms of the two initial values, which is a novel feature. Some of these bounds are best possible apart from a multiplicative constant. |
| title | Integers represented by binary recursive sequences |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.04986 |