On a generalization of the Pentagonal Number Theorem
Combinatorics
2018-09-05 v1
Abstract
We study a generalization of the classical Pentagonal Number Theorem and its applications. We derive new identities for certain infinite series, recurrence relations and convolution sums for certain restricted partitions and divisor sums. We also derive new identities for Bell polynomials.
Cite
@article{arxiv.1809.00316,
title = {On a generalization of the Pentagonal Number Theorem},
author = {Ho-Hon Leung},
journal= {arXiv preprint arXiv:1809.00316},
year = {2018}
}
Comments
12 pages