Una demostración elemental del teorema de los números primos
Given a real positive number x, the quantity of prime numbers less than or equal to x is denoted by π(x). In this work, we will present an elementary proof of famous prime number theorem, which asserts that the quantity π(x) is asymptotically equivalent to the quotient x/ ln x as x → ∞. To do this d...
- Autores:
-
Flores Luna, Larry Antonio
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2022
- Institución:
- Universidad de Córdoba
- Repositorio:
- Repositorio Institucional Unicórdoba
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unicordoba.edu.co:ucordoba/5057
- Acceso en línea:
- https://repositorio.unicordoba.edu.co/handle/ucordoba/5057
- Palabra clave:
- Fórmulas asintóticas
Números primos
Identidad de Selberg
Asymptotic formulas
Prime numbers
Selberg's identity
- Rights
- openAccess
- License
- Copyright Universidad de Córdoba, 2022
| Summary: | Given a real positive number x, the quantity of prime numbers less than or equal to x is denoted by π(x). In this work, we will present an elementary proof of famous prime number theorem, which asserts that the quantity π(x) is asymptotically equivalent to the quotient x/ ln x as x → ∞. To do this demonstration, we will use elementary techniques of analytic number theory to demonstrate Selberg’s asymptotic formula, from which we will derive the elementary proof of the prime number theorem. |
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