Asymptotics for the Fourier coefficients of eta-quotients

Abstract

We study the asymptotics for the Fourier coefficients of a broad class of eta-quotients,∏r=1R(∏k≥1(1−qmrk))δr, where m1,…,mR are R distinct positive integers and δ1,…,δR are R non-zero integers with ∑r=1Rδr≥0.