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A sequence of distributions related to the divisor function

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Abstract

We consider a sequence of distributions defined via the generalized divisor function. We describe the possible limit distributions and estimate the remainder terms.

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References

  1. G. Bareikis and A. Mačiulis, Asymptotic expectation of a sequence of arithmetical processes, in A. Laurinčikas, E. Manstavičius, and G. Stepanauskas (Eds.), Analytic and Probabilistic Methods in Number Theory. Proceedings of the 5th International Conference in Honour of J. Kubilius (Palanga, September 4–10, 2011), TEV, Vilnius, 2012, pp. 35–48.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania

    Gintautas Bareikis & Algirdas Mačiulis

Authors
  1. Gintautas Bareikis
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  2. Algirdas Mačiulis
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Correspondence to Gintautas Bareikis.

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Bareikis, G., Mačiulis, A. A sequence of distributions related to the divisor function. Lith Math J 54, 1–7 (2014). https://doi.org/10.1007/s10986-014-9223-2

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  • DOI: https://doi.org/10.1007/s10986-014-9223-2

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