Poisson Distribution for a Sum of Additive Functions |
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| Authors: | Jonas Šiaulys Gediminas Stepanauskas |
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| Affiliation: | (1) Vilnius University, Naugarduko 24, 03225 Vilnius, Lithuania;(2) Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania |
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| Abstract: | We consider the limit distribution of values of a sum of additive arithmetic functions with shifted argument. The case of the Poisson limit distribution is studied. The functions considered take at most two values on the set of primes, 0 and 1, and satisfy some additional conditions. Some examples are given. |
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| Keywords: | Additive arithmetic function Poisson distribution Factorial moments |
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