Abstract
Probabilistic number theory can be described as the result of the fusion of probability theory and asymptotic estimates, where the integral of a random variable is replaced by the arithmetical mean-value. In this context, divisibility by a prime p is an event A p, and the A p are statistically independent of one another, where the underlying ”measure” is given by the arithmetical mean-value (or asymptotic density).
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© 1992 Springer Science+Business Media Dordrecht
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Indlekofer, KH. (1992). A New Method in Probabilistic Number Theory. In: Galambos, J., Kátai, I. (eds) Probability Theory and Applications. Mathematics and Its Applications, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2817-9_19
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DOI: https://doi.org/10.1007/978-94-011-2817-9_19
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