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arxiv: 1606.08037 · v1 · pith:CRACKECJnew · submitted 2016-06-26 · 🧮 math.CO · math.NT

Combinatorial interpretations of Ramanujan's tau function

classification 🧮 math.CO math.NT
keywords combinatorialfunctionramanujaninterpretationsalternativeappliedcallcapsids
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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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