It is proved that the sequence contains infinite squarefree integers whenever , which improves Rieger’s earlier range .
Nous montrons que pour la suite contient une infinité d’entiers sans facteur carré ; cela améliore un résultat antérieur dû à Rieger qui obtenait l’infinitude de ces entiers pour
@article{JTNB_1998__10_2_287_0, author = {Cao, Xiaodong and Zhai, Wenguang}, title = {The distribution of square-free numbers of the form $[n^c]$}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {287--299}, publisher = {Universit\'e Bordeaux I}, volume = {10}, number = {2}, year = {1998}, mrnumber = {1828246}, zbl = {0926.11066}, language = {en}, url = {http://archive.numdam.org/item/JTNB_1998__10_2_287_0/} }
TY - JOUR AU - Cao, Xiaodong AU - Zhai, Wenguang TI - The distribution of square-free numbers of the form $[n^c]$ JO - Journal de théorie des nombres de Bordeaux PY - 1998 SP - 287 EP - 299 VL - 10 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_1998__10_2_287_0/ LA - en ID - JTNB_1998__10_2_287_0 ER -
%0 Journal Article %A Cao, Xiaodong %A Zhai, Wenguang %T The distribution of square-free numbers of the form $[n^c]$ %J Journal de théorie des nombres de Bordeaux %D 1998 %P 287-299 %V 10 %N 2 %I Université Bordeaux I %U http://archive.numdam.org/item/JTNB_1998__10_2_287_0/ %G en %F JTNB_1998__10_2_287_0
Cao, Xiaodong; Zhai, Wenguang. The distribution of square-free numbers of the form $[n^c]$. Journal de théorie des nombres de Bordeaux, Volume 10 (1998) no. 2, pp. 287-299. http://archive.numdam.org/item/JTNB_1998__10_2_287_0/
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