Non-Standard Limit Theorems in Number Theory
Cellarosi, Francesco · Sinai, Yakov G.
Original · EN
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.
English translation
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