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Poisson Distribution for a Sum of Additive Functions

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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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Authors and Affiliations

  1. Vilnius University, Naugarduko 24, 03225, Vilnius, Lithuania

    Jonas Šiaulys & Gediminas Stepanauskas

  2. Institute of Mathematics and Informatics, Akademijos 4, 08663, Vilnius, Lithuania

    Jonas Šiaulys

Authors
  1. Jonas Šiaulys
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  2. Gediminas Stepanauskas
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Correspondence to Jonas Šiaulys.

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Šiaulys, J., Stepanauskas, G. Poisson Distribution for a Sum of Additive Functions. Acta Appl Math 97, 269–279 (2007). https://doi.org/10.1007/s10440-007-9120-3

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  • DOI: https://doi.org/10.1007/s10440-007-9120-3

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