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.

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