1 citations · 1 across the 3 of their papers we have counts for
4 papers
A note on the normal largest gap between prime factors
Gérald Tenenbaum
Let denote the increasing sequence of distinct prime factors of an integer . We provide details for the proof of a statement of Erdős implying that, fo…
A remark on Sarnak's conjecture
Régis de la Bretèche, Gérald Tenenbaum
We investigate Sarnak's conjecture on the Möbius function in the special case when the test function is the indicator of the set of integers for which a real additive function assu…
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…
The distribution of integers with at least two divisors in a short interval
Kevin Ford, Gerald Tenenbaum
Let H(x,y,z) be the number of integers with a divisor in (y,z] and let H_1(x,y,z) be the number of integers with exactly one such divisor. When y and z are close, i…