The Gaussian Sequence 3th Order Mod m

The work addresses the study of third-order recurrent sequences for mod m cases. Thus, some definitions aim to transform infinite sequences into finite ones. In this regard, the Fourier transform is used as a visualization technique, explored in Google Colab. The mathematical theorems presented are...

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Bibliographic Details
Main Authors: Francisco Regis Alves, Renata Teófilo De Sousa, Renata Vieira
Format: Article
Language:English
Published: Emrah Evren KARA 2024-09-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/3999141
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Summary:The work addresses the study of third-order recurrent sequences for mod m cases. Thus, some definitions aim to transform infinite sequences into finite ones. In this regard, the Fourier transform is used as a visualization technique, explored in Google Colab. The mathematical theorems presented are established to examine the patterns of these sequences and their corresponding cycles. As a future perspective, it is intended to investigate other mathematical theorems to generalize the sequences into finite groups.
ISSN:2651-4001