On sums of coefficients of Borwein type polynomials over arithmetic progressions

Jiyou Li, Xiang Yu

We obtain asymptotic formulas for sums over arithmetic progressions of coefficients of polynomials of the form $$\prod _{j=1}^n\prod _{k=1}^{p-1}(1-q^{pj-k}{)}^s,$$ where $p$ is an odd…