Publicado

2010-07-01

On some Formulae for Ramanujan's tau Function

Palabras clave:

Ramanujan's tau formulae, Congruences (es)

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Autores/as

  • Luis H. Gallardo
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 $p$.

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