Geodesic
On the Asymptotics of the Element Counting Function in an Additive Arithmetic Semigroup with Exponential Counting Function of Prime Generators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 4, pp. 55-75.

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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.
Keywords: arithmetic semigroup, inverse abstract prime number theorem, counting function, entropy, asymptotics. 
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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. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 4, pp. 55-75. http://geodesic.mathdoc.fr/item/FAA_2016_50_4_a5/

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