The Gaussian Sequence 3th Order Mod m

Year 2024, Volume: 7 Issue: 3, 135 - 146, 29.09.2024

Renata Vieira , Renata Teófilo De Sousa , Francisco Regis Alves

https://doi.org/10.33434/cams.1499700

Abstract

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.

Keywords

Finite groups, Gaussian, Sequences 3th order

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