A structure theorem in probabilistic number theory

Maksym Radziwill

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arXiv · 1109.0033

A structure theorem in probabilistic number theory

Maksym Radziwill

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Abstract

We prove that if two additive functions (from a certain class) take large values with roughly the same probability then they must be identical. This is a consequence of a structure theorem making clear the inter-relation between the distribution of an additive function on the integers, and its distribution on the primes.

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Maksym Radziwill. 2011-08-31. A structure theorem in probabilistic number theory. https://arxiv.org/abs/1109.0033

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