Geodesic
Quadratic residues of the norm group in~sectorial domains
Algebra and discrete mathematics, Tome 22 (2016) no. 2, pp. 153-170

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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.
Keywords: quadratic residue, the norm group, Hecke Z-function, the gamma function, Dirichlet series, functional equation, Gaussian integers. 
@article{ADM_2016_22_2_a0,
     author = {Lyubov Balyas and Pavel Varbanets},
     title = {Quadratic residues of the norm group in~sectorial domains},
     journal = {Algebra and discrete mathematics},
     pages = {153--170},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2016_22_2_a0/}
}
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Lyubov Balyas; Pavel Varbanets. Quadratic residues of the norm group in~sectorial domains. Algebra and discrete mathematics, Tome 22 (2016) no. 2, pp. 153-170. http://geodesic.mathdoc.fr/item/ADM_2016_22_2_a0/