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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 4, Pages 55–75
DOI: https://doi.org/10.4213/faa3256 (Mi faa3256) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Asymptotics of the Element Counting Function in an Additive Arithmetic Semigroup with Exponential Counting Function of Prime Generators

D. S. Minenkovab, V. E. Nazaikinskiiab, V. L. Chernyshevc

a Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia
c National Research University Higher School of Economics, Moscow, Russia
Full-text PDF (262 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa3256
Abstract: We find the asymptotics of the element counting function for an additive arithmetic semigroup with exponential growth of the counting function of prime generators.
Keywords: arithmetic semigroup, inverse abstract prime number theorem, counting function, entropy, asymptotics.
Funding agency Grant number
Russian Science Foundation 14-11-00432
This work was supported by the Russian Science Foundation under grant 14-11-00432.
Received: 17.12.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 4, Pages 291–307
DOI: https://doi.org/10.1007/s10688-016-0160-1
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: D. S. Minenkov, V. E. Nazaikinskii, V. L. Chernyshev, “On the Asymptotics of the Element Counting Function in an Additive Arithmetic Semigroup with Exponential Counting Function of Prime Generators”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 55–75; Funct. Anal. Appl., 50:4 (2016), 291–307
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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