Erd\H{o}s considered the second moment of the gap-counting function of prime divisors in 1946 and proved an upper bound that is not of the right order of magnitude. We prove asymptotics for all moments.
The second moment of symmetric square L-functions over Gaussian integers
Poisson Approximation of prime divisors of shifted primes
Periods and GL(2)$\times$GL(2) Reciprocity
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