A structure theorem in probabilistic number theory

Details A structure theorem in probabilistic number theory A structure theorem in probabilistic number theory

2011-08-31

arxiv.org/abs/1109.0033v1

Mathematics

Number Theory

10 pages

Scientific paper

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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