%0 Journal Article %T On the digits of sumsets %+ Institut universitaire de France (IUF) %+ Institut de Mathématiques de Marseille (I2M) %+ Department of Algebra and Number Theory [Budapest] %A Mauduit, Christian %A Rivat, Joël %A Sárközy, András %Z Ciencia sem Fronteiras, PVE 407308/2013-0 %Z Hungarian National Foundation for Scientific Research, K100291, NK104183 %< avec comité de lecture %@ 0008-414X %J Canadian Journal of Mathematics %I University of Toronto Press %V 69 %N 3 %P 595 - 612 %8 2017-06 %D 2017 %R 10.4153/CJM-2016-007-2 %K sumset %K digits %Z 11A63, 11B13 %Z Mathematics [math]/Number Theory [math.NT]Journal articles %X Let A, B be large subsets of {1,…,N}. We study the number of pairs (a,b)∈A×B such that the sum of binary digits of a+b is fixed. %G English %L hal-01272953 %U https://hal.science/hal-01272953 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ INSMI %~ I2M %~ I2M-2014- %~ ANR