In their solution to the Kervaire invariant problem, Hill--Hopkins--Ravenel established a key quantitive relation between the Euler classes and the orientation classes in the coefficients of the $C_{2^n}$ equivariant $H\underline{F_2}$, which they call the "gold relation". This talk concerns a natural follow-up question about whether such relation exists in equivariant stable stems. Though the orientation classes does not exist in this context, I will discuss the corresponding relations between the Euler classes in the $C_{p^n}$-equivariant stable stems. In the sense of Bruner--Greenlees and Hopkins--Lin--Shi--Xu's interpretation, this is equivalent to the computation of $C_{p^n}$-equivariant Mahowald invariant for the family of Euler classes.