Аннотация:
In the article the distribution of quadratic residues in the ring $G_{p^n}$, in the norm subgroup $E_n$ of multiplicative group $G_{p^n}^{*}$, is investigated. The asymptotic formula for the number $R(x,\phi)$ of quadratic residues in the sectorial domain of a special form has been constructed.
Ключевые слова:quadratic residue, the norm group, Hecke Z-function, the gamma function, Dirichlet series, functional equation, Gaussian integers.