Hardy-Ramanujan Journal |
In the present paper, we use Ramachandra's kernel function of the second order, namely Exp((sinz)2), which has some advantages over the earlier kernel Exp(z4a+2) where a is a positive integer. As an outcome of the new kernel we are able to handle Ω-theorems for error terms in the asymptotic formula for the summatory function of the coefficients of generating functions of the Exp(ζ(s)),ExpExp(ζ(s)) and also of the type ExpExp((ζ(s))12).