On the Limit Shape of Elements of an Arithmetic Semigroup with an Exponentially Growing Counting Function of Basis Elementsстатья
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Аннотация:We consider an arithmetic semigroup with exponential growth of the counting function of abstract primes. The Bose-Einstein statistics provides the most probable mean occupation numbers in the sense that large deviations of a sum of occupation numbers from the corresponding sum for the Bose-Einstein statistics have small probabilities. The probabilities of large deviations are estimated.