Work

A note on Gaussian and Quaternion Repunit Numbers

Year: 2024

Type: article

Abstract: This work introduces two new sequences: the gaussian repunit numbers and the quaternion repunit numbers. We establish some properties of these sequences, as well as, recurrence relations, the Binet formula, and Catalan's, Cassini's, and d'Ocganes identities.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.14563272

Authors: Costa, Eudes Antonio, Santos, Douglas Catulio, Catarino, Paula Maria Machado Cruz, Spreafico, Elen Viviani Pereira

Institutions: Universidade Federal do Tocantins, Secretaria da Educação do Estado da Bahia

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6893153157

FWCI: 0.148

Cites:

Cited by: 1

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