The gaussian sequence 3th order in finite groups-Reference-Cited by-同舟云学术

The gaussian sequence 3th order in finite groups

Published:2024-08-20 Issue: Volume: Page:
ISSN:2651-4001
Container-title:Communications in Advanced Mathematical Sciences
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Author:

Vieira Renata¹^ORCID,Teófilo De Sousa Renata²^ORCID,Alves Francisco Regis²^ORCID

Affiliation:

1. Federal University of Ceara

2. Federal Institute of Science and Technology Education of the State of Ceara

Abstract

Recent research examines Gaussian numbers in third-order recurrent sequences in connection with finite groups in the field of Abstract Algebra. Thus, some definitions were introduced aiming to transform infinite sequences into finite ones. In this regard, the Fourier transform was used as a visualization technique, explored in Google Colab. The mathematical theorems presented were established with the purpose of examining 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.

Publisher

Communications in Advanced Mathematical Sciences

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