The Gaussian Sequence 3th Order Mod m

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
• finite groups
• gaussian
• sequences 3th order