Quadratic residues of the norm group in sectorial domains

Abstract

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.