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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-asymptot…) and reading the original paper (https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/s2-17…) published by G.H. Hardy and S. Ramanujan in 1918?