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math.PR2020
On strong and almost sure local limit theorems for a probabilistic model of the Dickman distribution
Régis de la Bretèche, Gérald Tenenbaum
Let denote a sequence of independent Bernoulli random variables defined by and put $T_n:=\su…
math.PR2006
Localized large sums of random variables
Kevin Ford, Gerald Tenenbaum
We study large partial sums, localized with respect to the sums of variances, of a sequence of centered random variables. An application is given to the distribution of prime facto…