On a generalization of the Pentagonal Number Theorem

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.

arXiv comment12 pages

References in corpus (1)

• Another Identity for Complete Bell Polynomials based on Ramanujan's Congruences