Poisson Distribution for a Sum of Additive Functions

• Autores: Jonas Siaulys, Gediminas Stepanauskas
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 97, Nº. 1-3, 2007, págs. 269-279
• Idioma: inglés
• DOI: 10.1007/s10440-007-9120-3
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• Resumen

  • 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.