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, 2019, Volume 106, Issue 4, Pages 506–518
DOI: https://doi.org/10.4213/mzm11309 (Mi mzm11309) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Riordan–Dirichlet Group

E. V. Burlachenko
Full-text PDF (447 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm11309
Abstract: Riordan matrices are infinite lower triangular matrices corresponing to certain operators in the space of formal power series. In the paper, we introduce analogous matrices for the space of Dirichlet formal series. It is shown that these matrices form a group, which is analogous to the Riordan group. An analog of the Lagrange inversion formula is given. As an example of the application of these matrices, a method for obtaining identities analogous to those obtained by using Riordan matrices is considered.
Keywords: Riordan matrices, formal Dirichlet series, Lagrange series.
Received: 09.06.2016
Revised: 10.12.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 4, Pages 514–525
DOI: https://doi.org/10.1134/S0001434619090219
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: E. V. Burlachenko, “The Riordan–Dirichlet Group”, Mat. Zametki, 106:4 (2019), 506–518; Math. Notes, 106:4 (2019), 514–525
Citation in format AMSBIB
\Bibitem{Bur19}
\by E.~V.~Burlachenko
\paper The Riordan--Dirichlet Group
\jour Mat. Zametki
\yr 2019
\vol 106
\issue 4
\pages 506--518
\mathnet{http://mi.mathnet.ru/mzm11309}
\crossref{https://doi.org/10.4213/mzm11309}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4017565}
\elib{https://elibrary.ru/item.asp?id=41816382}
\transl
\jour Math. Notes
\yr 2019
\vol 106
\issue 4
\pages 514--525
\crossref{https://doi.org/10.1134/S0001434619090219}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000492034300021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074062722}
Linking options:
  • https://www.mathnet.ru/eng/mzm11309
  • https://doi.org/10.4213/mzm11309
  • https://www.mathnet.ru/eng/mzm/v106/i4/p506
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024