Email this article On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators
- Authors: Minenkov D.S.1,2, Nazaikinskii V.E.1,2, Chernyshev V.L.3
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- National Research University Higher School of Economics
- Issue: Vol 50, No 4 (2016)
- Pages: 291-307
- Section: Article
- URL: https://journal-vniispk.ru/0016-2663/article/view/234245
- DOI: https://doi.org/10.1007/s10688-016-0160-1
- ID: 234245
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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.
About the authors
D. S. Minenkov
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: minenkov.ds@gmail.com
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast
V. E. Nazaikinskii
Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Email: minenkov.ds@gmail.com
Russian Federation, Moscow; Dolgoprudny, Moscow Oblast
V. L. Chernyshev
National Research University Higher School of Economics
Email: minenkov.ds@gmail.com
Russian Federation, Moscow
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