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The distribution law of divisors on a sequence of integers

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Abstract

In this paper, we generalize the result obtained by G. Bareikis and E. Manstavičius [On the DDT theorem, Acta Arith., 126(2):155–168, 2007] for a sequence of integers from a probabilistic point of view. As an application, we give the distribution law of divisors of an integer n that can be written as the sum of two squares.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, Campus Universitaire, 2092, Tunis, Tunisie

    Mohamed Saber Daoud, Afef Hidri & Mongi Naimi

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  1. Mohamed Saber Daoud
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  2. Afef Hidri
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  3. Mongi Naimi
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Correspondence to Mohamed Saber Daoud.

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Daoud, M.S., Hidri, A. & Naimi, M. The distribution law of divisors on a sequence of integers. Lith Math J 55, 474–488 (2015). https://doi.org/10.1007/s10986-015-9293-9

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  • DOI: https://doi.org/10.1007/s10986-015-9293-9

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