Unimodality of partition polynomials related to Borwein's conjecture

Abstract

The objective of this paper is to prove that the polynomials ${\prod }_{k=0}^n(1+q^{3k+1})(1+q^{3k+2})$ are symmetric and unimodal for $n\ge 0$ by an analytical method.

14 pages, to appear in Ramanujan J