On some formulae for ramanujan's tau function
Some formulae of Niebur and Lanphier are derived in an elementary manner from previously known formulae. A new congruence formula for $\tau(p)$ modulo $p$ is derived as a consequence. We use this congruence to numerically investigate the order of $\tau(p)$ modulo $p$.
| Autor: | |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | Colombia |
| Recursos: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/39776 |
| Acesso em linha: | https://repositorio.unal.edu.co/handle/unal/39776 http://bdigital.unal.edu.co/29873/ |
| Access Level: | acceso abierto |
| Palavra-chave: | Ramanujan's tau formulae Congruences 11A25 11A07 |
| Resumo: | Some formulae of Niebur and Lanphier are derived in an elementary manner from previously known formulae. A new congruence formula for $\tau(p)$ modulo $p$ is derived as a consequence. We use this congruence to numerically investigate the order of $\tau(p)$ modulo $p$. |
|---|