New representations of Ramanujan’s tau function

Ewell, John

doi:10.1090/S0002-9939-99-05289-2

New representations of Ramanujan’s tau function
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Proc. Amer. Math. Soc. 128 (2000), 723-726 Request permission

Abstract:

Several formulas for Ramanujan’s function $\tau$, defined by \[ x \prod _1^{\infty }(1-x^n)^{24}=\sum _1^{\infty } \tau (n) x^n \quad (\vert x \vert < 1), \] are presented. We also present a congruence modulo 3 for some of the function values.

References

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