On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators


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We find the asymptotics of the element counting function for an additive arithmetic semigroup with exponential growth of the counting function of prime generators.

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D. Minenkov

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Autor responsável pela correspondência
Email: minenkov.ds@gmail.com
Rússia, Moscow; Dolgoprudny, Moscow Oblast

V. Nazaikinskii

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Email: minenkov.ds@gmail.com
Rússia, Moscow; Dolgoprudny, Moscow Oblast

V. Chernyshev

National Research University Higher School of Economics

Email: minenkov.ds@gmail.com
Rússia, Moscow

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