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 \({\mathbb {Q}}\)(\(\sqrt{D})\), where \(D = 9m^{2}+2m\) is a square-free positive integer and \(m \equiv 2\) (mod 3) is an odd positive integer.