Certain infinite products in terms of MacMahon type series

Seokho Jin, Badri Vishal Pandey, Ajit Singh

Recently, Ono and the third author discovered that the reciprocals of the theta series $(q;q{)}_{\infty }^3$ and $(q^2;q^2{)}_{\infty }(q;q^2{)}_{\infty }^2$ have infinitely many closed formulas…