We examine additive properties of dense subsets of sifted sequences, and in particular prove under very general assumptions that such a sequence is an additive asymptotic basis whose order is very well controlled.
Nous nous intéressons aux propriétés additives des sous-suites de densité de suites “bien criblées” et montrons en particulier que, sous des hypothèses très générales, une telle suite est une base additive asymptotique dont l'ordre est très bien contrôlé.
@article{JTNB_2001__13_2_559_0, author = {Ramar\'e, Olivier and Ruzsa, Imre Z.}, title = {Additive properties of dense subsets of sifted sequences}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {559--581}, publisher = {Universit\'e Bordeaux I}, volume = {13}, number = {2}, year = {2001}, mrnumber = {1879673}, zbl = {0996.11057}, language = {en}, url = {http://archive.numdam.org/item/JTNB_2001__13_2_559_0/} }
TY - JOUR AU - Ramaré, Olivier AU - Ruzsa, Imre Z. TI - Additive properties of dense subsets of sifted sequences JO - Journal de théorie des nombres de Bordeaux PY - 2001 SP - 559 EP - 581 VL - 13 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_2001__13_2_559_0/ LA - en ID - JTNB_2001__13_2_559_0 ER -
%0 Journal Article %A Ramaré, Olivier %A Ruzsa, Imre Z. %T Additive properties of dense subsets of sifted sequences %J Journal de théorie des nombres de Bordeaux %D 2001 %P 559-581 %V 13 %N 2 %I Université Bordeaux I %U http://archive.numdam.org/item/JTNB_2001__13_2_559_0/ %G en %F JTNB_2001__13_2_559_0
Ramaré, Olivier; Ruzsa, Imre Z. Additive properties of dense subsets of sifted sequences. Journal de théorie des nombres de Bordeaux, Volume 13 (2001) no. 2, pp. 559-581. http://archive.numdam.org/item/JTNB_2001__13_2_559_0/
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