Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 193–204
DOI: https://doi.org/10.4213/mzm3547 (Mi mzm3547) 		 
Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms

S. A. Gritsenko

Belgorod State University
Full-text PDF (461 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3547
Abstract: In this paper, we solve Goldbach's ternary problem involving primes expressible by given primitive positive definite binary quadratic forms whose discriminants coincide with the discriminants of imaginary quadratic fields in which quadratic forms split into linear multipliers.
Keywords: Goldbach's ternary problem, binary quadratic form, imaginary quadratic field, arithmetic progression, simple ideal, Dirichlet series.
Received: 17.05.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 2, Pages 172–182
DOI: https://doi.org/10.1134/S0001434607010208
Bibliographic databases:
UDC: 511
Language: Russian
Citation: S. A. Gritsenko, “Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms”, Mat. Zametki, 81:2 (2007), 193–204; Math. Notes, 81:2 (2007), 172–182
Citation in format AMSBIB
\Bibitem{Gri07}
\by S.~A.~Gritsenko
\paper Goldbach's Ternary Problem Involving Prime Numbers Expressible by Given Quadratic Forms
\jour Mat. Zametki
\yr 2007
\vol 81
\issue 2
\pages 193--204
\mathnet{http://mi.mathnet.ru/mzm3547}
\crossref{https://doi.org/10.4213/mzm3547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2333879}
\zmath{https://zbmath.org/?q=an:1183.11061}
\elib{https://elibrary.ru/item.asp?id=9448927}
\transl
\jour Math. Notes
\yr 2007
\vol 81
\issue 2
\pages 172--182
\crossref{https://doi.org/10.1134/S0001434607010208}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000244695200020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947544394}
Linking options:
  • https://www.mathnet.ru/eng/mzm3547
  • https://doi.org/10.4213/mzm3547
  • https://www.mathnet.ru/eng/mzm/v81/i2/p193
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:469
    Full-text PDF :217
    References:52
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024