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On the Digits of Sumsets

  • Christian Mauduit (a1), Joël Rivat (a2) and András Sárközy (a3)

Abstract

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.

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On the Digits of Sumsets

  • Christian Mauduit (a1), Joël Rivat (a2) and András Sárközy (a3)

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