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Published June 14, 2018 | Submitted
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A structure theorem in probabilistic number theory


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.

Additional Information

The author is partially supported by a NSERC PGS-D award.

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Submitted - 1109.0033.pdf


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