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Diskretnaya Matematika, 2017, Volume 29, Issue 2, Pages 84–95
DOI: https://doi.org/10.4213/dm1431 (Mi dm1431) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Stone's renewal theorem for arithmetic distributions

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/dm1431
Abstract: The well-known Stone's renewal theorem is refined for the case of arithmetic distributions having at least one exponentially decreasing tail. A very general version of the renewal theorem for arithmetic distributions with a semi-multiplicative bound of the residual term is proved.
Keywords: renewal theorem, Stone's theorem, arithmetic distribution, semimultiplicative sequence.
Received: 21.12.2016
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 6, Pages 397–404
DOI: https://doi.org/10.1515/dma-2018-0035
Bibliographic databases:
Document Type: Article
UDC: 519.218.4
Language: Russian
Citation: M. S. Sgibnev, “On Stone's renewal theorem for arithmetic distributions”, Diskr. Mat., 29:2 (2017), 84–95; Discrete Math. Appl., 28:6 (2018), 397–404
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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    		Дискретная математика
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