Computer Research and Modeling
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Computer Research and Modeling:
Year:
Volume:
Issue:
Page:
Find




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

Computer Research and Modeling, 2010, Volume 2, Issue 4, Pages 343–347
DOI: https://doi.org/10.20537/2076-7633-2010-2-4-343-347 (Mi crm607) 		 
MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Estimate of the module of analogue Weyl’s trigonometrical sum in ring of Gaussian numbers

P. N. Sorokin

Scientific-Research Institute for System Studies, Russian Academy of Sciences (NIISI RAN), Nakhimovskii av. 36-1, Moscow, 117218, Russia
Full-text PDF (275 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20537/2076-7633-2010-2-4-343-347
Abstract: The ring of Gaussian numbers is considered. The estimation of the module of some analogue of Weyl's trigonometrical sum with summation on Gaussian numbers is proved by methods of the analytical number theory. Multiplicative norm of Gaussian numbers is less than some integer.
Keywords: ring of Gaussian numbers, trigonometrical sums of G.Weyl.
Received: 27.06.2010
Document Type: Article
UDC: 511.3
Language: Russian
Citation: P. N. Sorokin, “Estimate of the module of analogue Weyl’s trigonometrical sum in ring of Gaussian numbers”, Computer Research and Modeling, 2:4 (2010), 343–347
Citation in format AMSBIB
\Bibitem{Sor10}
\by P.~N.~Sorokin
\paper Estimate of the module of analogue Weyl’s trigonometrical sum in ring of Gaussian numbers
\jour Computer Research and Modeling
\yr 2010
\vol 2
\issue 4
\pages 343--347
\mathnet{http://mi.mathnet.ru/crm607}
\crossref{https://doi.org/10.20537/2076-7633-2010-2-4-343-347}
Linking options:
  • https://www.mathnet.ru/eng/crm607
  • https://www.mathnet.ru/eng/crm/v2/i4/p343
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Research and Modeling
    Statistics & downloads:
    Abstract page:67
    Full-text PDF :30
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024