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math.PR2013
Moderate and Large Deviations for the Erdős-Kac Theorem
Behzad Mehrdad, Lingjiong Zhu
The Erdős-Kac theorem is a celebrated result in number theory which says that the number of distinct prime factors of a uniformly chosen random integer satisfies a central limit th…
math.PR2013★ 2 cited
Limit Theorems for Empirical Density of Greatest Common Divisors
Behzad Mehrdad, Lingjiong Zhu
The law of large numbers for the empirical density for the pairs of uniformly distributed integers with a given greatest common divisor is a classic result in number theory. In thi…