On the Digits of Sumsets

Author:

Mauduit Christian,Joël Rivat ,Sárközy András

Abstract

AbstractLet 𝒜 and be large subsets of {1,… , N}. We study the number of pairs (a, b) ∊ 𝒜 × such that the sum of binary digits of a + b is fixed.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Weyl Sums over Integers with Digital Restrictions;Michigan Mathematical Journal;2023-01-01

2. L^\infty -estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization;Discrete & Continuous Dynamical Systems - A;2021

3. On uniformity of q‐multiplicative sequences;Bulletin of the London Mathematical Society;2019-03-19

4. On the distribution of the sum of digits of sums $$a+b$$ a + b;The Ramanujan Journal;2018-02-15

5. Weighted Birkhoff ergodic theorem with oscillating weights;Ergodic Theory and Dynamical Systems;2017-09-25

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