Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra and Discrete Mathematics, 2016, Volume 22, Issue 2, Pages 153–170 (Mi adm580)  
RESEARCH ARTICLE

Quadratic residues of the norm group in sectorial domains

Lyubov Balyas, Pavel Varbanets

I. I. Mechnikov Odessa National University
Full-text PDF (383 kB)
References:
PDF
HTML
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.
Keywords: quadratic residue, the norm group, Hecke Z-function, the gamma function, Dirichlet series, functional equation, Gaussian integers.
Received: 29.01.2016
Revised: 29.12.2016
Bibliographic databases:
Document Type: Article
MSC: 11L05, 11L07, 11N25, 11S40
Language: English
Citation: Lyubov Balyas, Pavel Varbanets, “Quadratic residues of the norm group in sectorial domains”, Algebra Discrete Math., 22:2 (2016), 153–170
Citation in format AMSBIB
\Bibitem{BalVar16}
\by Lyubov~Balyas, Pavel~Varbanets
\paper Quadratic residues of the norm group in~sectorial domains
\jour Algebra Discrete Math.
\yr 2016
\vol 22
\issue 2
\pages 153--170
\mathnet{http://mi.mathnet.ru/adm580}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3593117}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000392709600001}
Linking options:
  • https://www.mathnet.ru/eng/adm580
  • https://www.mathnet.ru/eng/adm/v22/i2/p153
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024