Non-Standard Limit Theorems in Number Theory

Details Non-Standard Limit Theorems in Number Theory Non-Standard Limit Theorems in Number Theory

2010-09-30

arxiv.org/abs/1010.0035v2

Mathematics

Probability

12 pages

Scientific paper

We present a limit theorem describing the behavior of a probabilistic model
for square-free numbers. The limiting distribution has a density that comes
from the Dickman-De Bruijn function and is constant on the interval $[0,1]$. We
also provide estimates concerning the error term in the limit theorem.

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