On Pillai's problem involving two linear recurrent sequences : Padovan and Fibonacci
| Autor: | Pagdame Tiebekabe, Serge Adonsou |
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| Rok vydání: | 2022 |
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| DOI: | 10.48550/arxiv.2207.11331 |
| Popis: | In this paper, we find all integers $c$ having at least two representations as a difference between linear recurrent sequences. This problem is a pillai problem involving Padovan and Fibonacci sequence. The proof of our main theorem uses lower bounds for linear forms in logarithms, properties of continued fractions, and a version of the Baker-Davenport reduction method in Diophantine approximation. Comment: arXiv admin note: text overlap with arXiv:1902.03491 by other authors |
| Databáze: | OpenAIRE |
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