Geodesic
On the Digits of Sumsets
Canadian journal of mathematics, Tome 69 (2017) no. 3, pp. 595-612

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DOI

Let $\mathcal{A}$ and $\mathcal{B}$ be large subsets of $\{1,\,.\,.\,.\,,\,N\}$ . We study the number of pairs $\left( a,b \right)\,\in \,\mathcal{A}\,\times \,\mathcal{B}$ such that the sum of binary digits of $a\,+\,b$ is fixed.
DOI : 10.4153/CJM-2016-007-2
Mots-clés : 11A63, 11B13, sumset, digits 
Mauduit, Christian; Rivat, Joël; Sárközy, András. On the Digits of Sumsets. Canadian journal of mathematics, Tome 69 (2017) no. 3, pp. 595-612. doi: 10.4153/CJM-2016-007-2
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     title = {On the {Digits} of {Sumsets}},
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     year = {2017},
     volume = {69},
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     doi = {10.4153/CJM-2016-007-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-007-2/}
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