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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
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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
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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