Funções elementares e teoria dos números

Abstract

In this Dissertation we will carry out a study on some arithmetic functions. We will see theorems, properties, demonstrations and some important results. In addition, we will use combinatorial analysis techniques to clarify relationships between them, which is extremely important, as it disfigures the idea that mathematics is disconnected and segmented. We seek to offer a combinatorial approach to elementary number theory. The justification for this view is that we can present combinatorial analysis and number theory as sister disciplines. They share a certain intersection of common knowledge and each genuinely enriches the other. Thus, when studying number theory from a combinatorial perspective, students and teachers benefit from the consequent simplicity of the proofs of many theorems, being spared repetition and gaining new insights.