Partial Dedekind zeta values for ideal classes of the real quadratic field \({\mathbb {Q}}\)(\(\sqrt{9m^{2}+2m})\)

In this paper, we obtain some of the partial Dedekind zeta values for ideal classes of the real quadratic field \({\mathbb {Q}}\) $\mathbb{Q}$ ( \(\sqrt{D})\) $\sqrt{D})$ , where \(D = 9m^{2}+2m\) $D=9m^2+2m$ is a square-free positive integer and \(m \equiv 2\) $m\equiv 2$ (mod 3) is an odd positive integer.