Combinatorial interpretations of Ramanujan's tau function
Combinatorics
2019-02-22 v1 Number Theory
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.
Cite
@article{arxiv.1606.08037,
title = {Combinatorial interpretations of Ramanujan's tau function},
author = {Frank Garvan and Michael J. Schlosser},
journal= {arXiv preprint arXiv:1606.08037},
year = {2019}
}
Comments
14 pages, 3 figures