Chebyshevskii Sbornik
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



Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find






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


Chebyshevskii Sbornik, 2024, Volume 25, Issue 1, Pages 16–25
DOI: https://doi.org/10.22405/2226-8383-2024-25-1-16-25
(Mi cheb1399)
 

Quadratic forms corresponding to the faces of the Voronoi domain of perfect form in six variables

O. Kh. Gulomov

V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan)
References:
Abstract: The problem of classifying integer quadratic forms has a long history, during which many mathematicians have contributed to its solution. Binary forms were comprehensively studied by Gauss. He and later researchers also outlined the main ways to solve the problem of classifying ternary forms and forms of higher dimensions. The greatest achievements of the subsequent period were the deep development of the theory of rational quadratic forms and the complete classification of indefinite forms in dimensions 3 and higher by Eichler in terms of spinor genera.
The paper proposes an algorithm for calculating non-equivalent quadratic forms corresponding to the faces of the Voronoi domain of the second perfect form in many variables, and using this algorithm, all corresponding non-equivalent quadratic forms are calculated.
Keywords: quadratic forms, perfect forms, Voronoi domain, Voronoi neighborhood, improved Voronoi algorithm.
Received: 12.10.2023
Accepted: 21.03.2024
Document Type: Article
UDC: 519.644
Language: Russian
Citation: O. Kh. Gulomov, “Quadratic forms corresponding to the faces of the Voronoi domain of perfect form in six variables”, Chebyshevskii Sb., 25:1 (2024), 16–25
Citation in format AMSBIB
\Bibitem{Gul24}
\by O.~Kh.~Gulomov
\paper Quadratic forms corresponding to the faces of the Voronoi domain of perfect form in six variables
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 1
\pages 16--25
\mathnet{http://mi.mathnet.ru/cheb1399}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-1-16-25}
Linking options:
  • https://www.mathnet.ru/eng/cheb1399
  • https://www.mathnet.ru/eng/cheb/v25/i1/p16
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:27
    Full-text PDF :25
    References:9
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024