Erdős arcsine law [SEP] named after
Erdős arcsine law
In number theory, the Erdős arcsine law, named after Paul Erdős, states that the prime divisors of a number have a distribution related to the arcsine distribution.
Specifically, say that the "j"th prime factor "p" of a given number "n" (in the sorted sequence of distinct prime factors) is "small" when .
Then, for any fixed parameter "u", in the limit as "x" goes to infinity, the proportion of the integers "n
Arcsine law
Arcsine law may refer to:
- Arcsine distribution
- Arcsine laws (Wiener process), describing one-dimensional random walks
- Erdős arcsine law, concerning the prime divisors of a number