O teorema dos números primos
The objective of this work is to present prime numbers and show a relationship between the prime counting function, π(x), and the natural logarithm function, log(x). Initially, we will make a brief historical overview. Next, we will bring some important concepts about prime numbers and about some el...
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| Formato: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Recursos: | Universidade Federal de Sergipe (UFS) |
| Repositorio: | Repositório Institucional da UFS |
| Idioma: | portugués |
| OAI Identifier: | oai:oai:ri.ufs.br:repo_01:riufs/18016 |
| Acesso em linha: | https://ri.ufs.br/jspui/handle/riufs/18016 |
| Access Level: | acceso abierto |
| Palavra-chave: | Números primos Logarítmos Integrais (Matemática) Análise matemática Teorema dos números primos Distribuição dos números primos Função Zeta de Riemann Teoria dos números Prime number theorem Distribution of prime numbers Riemann's Zeta function Number theory CIENCIAS EXATAS E DA TERRA::MATEMATICA |
| Resumo: | The objective of this work is to present prime numbers and show a relationship between the prime counting function, π(x), and the natural logarithm function, log(x). Initially, we will make a brief historical overview. Next, we will bring some important concepts about prime numbers and about some elements of Complex Analysis. Finally, we will study the Riemann Zeta function and bring the demonstration of the Prime Number Theorem, tracing a connection between the Riemann Zeta function and the π(x) function. |
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