5 papers
Ãtude statistique du facteur premier médian, 4: somme des inverses
Jonathan Rotgé
We consider the sum of the reciprocals of the middle prime factor of an integer, defined according to multiplicity or not. We obtain an asymptotic expansion in the first case and a…
On integral boxes of minimal surface
Jonathan Rotgé, Gérald Tenenbaum
Generalising the two-dimensional case, we provide estimates for the mean-values of the lengths of the edges of an integral box with given volume and minimal surface.
Ãtude statistique du facteur premier médian, 1 : valeur moyenne
Jonathan Rotgé
We provide an asymptotic expansion for the mean-value of the logarithm of the middle prime factor of an integer, defined according to multiplicity or not, thus generalising a recen…
Ãtude statistique du facteur premier médian, 2 : lois locales
Jonathan Rotgé
We estimate the local laws of the distribution of the middle prime factor of an integer, defined according to multiplicity or not. An asymptotic estimate with effective remainder i…
Ãtude statistique du facteur premier médian, 3 : lois de répartition
Jonathan Rotgé
We consider the Gaussian limit law for the distribution of the middle prime factor of an integer, defined according to multiplicity or not. We obtain an optimal bound for the speed…