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 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.
Authors
- Renata Passos Machado Vieira (ORCID: https://orcid.org/0000-0002-1966-7097)
- Renata Teófilo de Sousa (ORCID: https://orcid.org/0000-0001-5507-2691)
- Francisco Régis Vieira Alves (ORCID: https://orcid.org/0000-0003-3710-1561)
Institutions
- Universidade Federal do Ceará (BR)
- Instituto Federal de Educação, Ciência e Tecnologia do Ceará (BR)
- Institute of Science and Technology
Publication Details
- Journal
- Communications in Advanced Mathematical Sciences
- Published
- 2024-09-08
- DOI
- https://doi.org/10.33434/cams.1499700
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico