Strong divisibility sequences and sieve methods
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908510760992768 |
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| author | Browning, Tim Verzobio, Matteo |
| author_facet | Browning, Tim Verzobio, Matteo |
| contents | We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence which only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods. At the end of the paper there is an appendix by Sandro Bettin on divisor closed sets, that we use to study the density of prime terms that appear in strong divisibility sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong divisibility sequences and sieve methods Browning, Tim Verzobio, Matteo Number Theory 11N36 (11A41, 11A51, 11B39, 11B83, 11G05) We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence which only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods. At the end of the paper there is an appendix by Sandro Bettin on divisor closed sets, that we use to study the density of prime terms that appear in strong divisibility sequences. |
| title | Strong divisibility sequences and sieve methods |
| topic | Number Theory 11N36 (11A41, 11A51, 11B39, 11B83, 11G05) |
| url | https://arxiv.org/abs/2402.19301 |