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Sequences and Polynomial Congruence

In this paper, we shall find a new connection between \(n\)th degree polynomial mod \(p\) congruence with \(n\) roots and higher-order Fibonacci and Lucas sequences. We shall first discuss the recent work been done in sequences and their connection to polynomial congruence and then find out new rela...

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Bibliographic Details
Published in:arXiv.org 2021-04
Main Authors: Cox, Darrell, Ghosh, Sourangshu, Sultanow, Eldar
Format: Article
Language:English
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Summary:In this paper, we shall find a new connection between \(n\)th degree polynomial mod \(p\) congruence with \(n\) roots and higher-order Fibonacci and Lucas sequences. We shall first discuss the recent work been done in sequences and their connection to polynomial congruence and then find out new relations between particular recurrence relation and the congruence of the sequences.
ISSN:2331-8422
DOI:10.48550/arxiv.2012.11373