Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902872 | Discrete Mathematics | 2018 | 10 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Frank Garvan, Michael J. Schlosser,