Gaps between consecutive divisors of factorials
Annales de l'Institut Fourier, Tome 43 (1993) no. 3, pp. 569-583.

On étudie l’ensemble de tous les diviseurs de $n!$ dans l’ordre croissant, et l’on obtient une borne supérieure pour les écarts entre deux diviseurs consécutifs. Nous obtenons une borne inférieure pour la différence entre les deux diviseurs les plus proches de $\sqrt{n!}$.

The set of all divisors of $n!$, ordered according to increasing magnitude, is considered, and an upper bound on the gaps between consecutive ones is obtained. We are especially interested in the divisors nearest $\sqrt{n!}$ and obtain a lower bound on their distance.

@article{AIF_1993__43_3_569_0,
author = {Berend, Daniel and Harmse, J. E.},
title = {Gaps between consecutive divisors of factorials},
journal = {Annales de l'Institut Fourier},
pages = {569--583},
publisher = {Institut Fourier},
volume = {43},
number = {3},
year = {1993},
doi = {10.5802/aif.1348},
zbl = {0790.11007},
mrnumber = {94k:11107},
language = {en},
url = {http://www.numdam.org/item/AIF_1993__43_3_569_0/}
}
Berend, Daniel; Harmse, J. E. Gaps between consecutive divisors of factorials. Annales de l'Institut Fourier, Tome 43 (1993) no. 3, pp. 569-583. doi : 10.5802/aif.1348. http://www.numdam.org/item/AIF_1993__43_3_569_0/

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