Perhaps some light can be thrown on this matter from the discussion that took place on Math Stack Exchange in January 2018 (https://math.stackexchange.com/questions/49628/hardy-ramanujan-asymptoti...) and reading the original paper (https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/s2-17.1.75) published by G.H. Hardy and S. Ramanujan in 1918?