ON THE DISTRIBUTION OF THE SUM OF DIGITS OF SUMS a + b

Christian Mauduit (1, 2) , Joel Rivat (2) , András Sárközy (3)

1 IUF - Institut universitaire de France
2 I2M - Institut de Mathématiques de Marseille
3 Department of Algebra and Number Theory [Budapest]

Let A, B be large subsets of {1,. .. , N }. We study the distribution of the sum of binary digits of the sums a + b with (a, b) ∈ A × B.

Domaines: Théorie des nombres [math.NT]

Christian Mauduit, Joel Rivat, András Sárközy. ON THE DISTRIBUTION OF THE SUM OF DIGITS OF SUMS a + b. 2019. ⟨hal-02278713⟩