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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
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.
Received: 17.12.2015
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
Linking options:
https://www.mathnet.ru/eng/faa3256https://doi.org/10.4213/faa3256 https://www.mathnet.ru/eng/faa/v50/i4/p55
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Abstract page: | 374 | Full-text PDF : | 51 | References: | 50 | First page: | 22 |
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