## Frank Garvan and Michael J. Schlosser

# Combinatorial interpretations of Ramanujan's tau function

### (15 pages)

**Abstract.**
We use a *q*-series identity by Ramanujan to give a combinatorial
interpretation of Ramanujan's tau function which involves *t*-cores
and a new class of partitions which we call (*m*, *k*)-capsids.
The same method can be applied in conjunction with other related identities
yielding alternative combinatorial interpretations
of the tau function.

The following version is available:

Here are some
supplements
for checking some of the results of the paper with a MAPLE 2015 worksheet.

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