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 2, Pages 260–268
DOI: https://doi.org/10.22405/2226-8383-2024-25-2-260-268 (Mi cheb1431) 		 
BRIEF MESSAGE

Dirichlet series of the second kind for irreducible lattices repeated by multiplication

R. V. Tarabrina, N. N. Dobrovol'skiib, N. M. Dobrovol'skiib

a Orenburg State University (Orenburg)
b Tula State Lev Tolstoy Pedagogical University (Tula)
Full-text PDF (603 kB)
References:
PDF
HTML
DOI: https://doi.org/10.22405/2226-8383-2024-25-2-260-268
Abstract: The work constructs a theory of Dirichlet series of the second kind for irreducible lattices repeated by multiplication. In particular, the theorem is proven that Dirichlet series of the second kind for irreducible lattices repeated by multiplication form an algebra over the field of complex numbers.
In conclusion, current problems for Dirichlet series of the second kind for irreducible lattices repeated by multiplication are considered, requiring further research.
Keywords: riemann zeta function, dirichlet series.
Funding agency Grant number
Russian Science Foundation 23-21-00317
The work has been prepared by the RSF grant № 23-21-00317 “Geometry of numbers and Diophantine approximations in the number-theoretic method in approximate analysis”.
Received: 12.04.2024
Accepted: 28.06.2024
Document Type: Article
UDC: 511.3
Language: Russian
Citation: R. V. Tarabrin, N. N. Dobrovol'skii, N. M. Dobrovol'skii, “Dirichlet series of the second kind for irreducible lattices repeated by multiplication”, Chebyshevskii Sb., 25:2 (2024), 260–268
Citation in format AMSBIB
\Bibitem{TarDobDob24}
\by R.~V.~Tarabrin, N.~N.~Dobrovol'skii, N.~M.~Dobrovol'skii
\paper Dirichlet series of the second kind for irreducible lattices repeated by multiplication
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 2
\pages 260--268
\mathnet{http://mi.mathnet.ru/cheb1431}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-2-260-268}
Linking options:
  • https://www.mathnet.ru/eng/cheb1431
  • https://www.mathnet.ru/eng/cheb/v25/i2/p260
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:31
    Full-text PDF :8
    References:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024