Counting coprime pairs in random squares
Extending the classical Dirichlet density theorem on coprime pairs, in this paper we describe completely the probability distribution of the number of coprime pairs in random squares of fixed side length in the lattice N2. The limit behavior of this distribution as the side length of the random squa...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/747000 |
| Acceso en línea: | https://hdl.handle.net/10486/747000 https://dx.doi.org/10.1137/24M1659157 |
| Access Level: | acceso abierto |
| Palabra clave: | Dirichlet’s density theorem visible points in squares coprime numbers Matemáticas |
| Sumario: | Extending the classical Dirichlet density theorem on coprime pairs, in this paper we describe completely the probability distribution of the number of coprime pairs in random squares of fixed side length in the lattice N2. The limit behavior of this distribution as the side length of the random square tends to infinity is also considered |
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