The set of all divisors of , 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 and obtain a lower bound on their distance.
On étudie l’ensemble de tous les diviseurs de 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 .
@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}, address = {Grenoble}, volume = {43}, number = {3}, year = {1993}, doi = {10.5802/aif.1348}, mrnumber = {94k:11107}, zbl = {0790.11007}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1348/} }
TY - JOUR AU - Berend, Daniel AU - Harmse, J. E. TI - Gaps between consecutive divisors of factorials JO - Annales de l'Institut Fourier PY - 1993 SP - 569 EP - 583 VL - 43 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.1348/ DO - 10.5802/aif.1348 LA - en ID - AIF_1993__43_3_569_0 ER -
%0 Journal Article %A Berend, Daniel %A Harmse, J. E. %T Gaps between consecutive divisors of factorials %J Annales de l'Institut Fourier %D 1993 %P 569-583 %V 43 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.1348/ %R 10.5802/aif.1348 %G en %F AIF_1993__43_3_569_0
Berend, Daniel; Harmse, J. E. Gaps between consecutive divisors of factorials. Annales de l'Institut Fourier, Volume 43 (1993) no. 3, pp. 569-583. doi : 10.5802/aif.1348. http://www.numdam.org/articles/10.5802/aif.1348/
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