Ω-Theorems for the real part of the Riemann zeta function

For s = σ + it, σ > 1, and integer k ? 1$\text{ζ}{}^{\mathrm{k}}\text{(s) = ∑}\text{d}{}_{\mathrm{k}}\text{(n)}\text{n}{}^3$. In a previous paper, Ω results for $\text{ζ(c + it),}\text{1}\text{2}\text{? c ? 1}$, where obtained in an elementary way by choosing N = N(k, c) so that the size of the single term d_k(N) gave Ω results slightly better than existing ones. Here the method will be shown to give the same results for Re ζ(c + it).