Let A be a finite set of integers. For any integer h ≥ 2, let hA and h∧A be the sets of all sums of h elements of A and all sums of h distinct elements of A, respectively.In this paper, we survey some significant ad...Let A be a finite set of integers. For any integer h ≥ 2, let hA and h∧A be the sets of all sums of h elements of A and all sums of h distinct elements of A, respectively.In this paper, we survey some significant advances in additive combinatorics concerning the size and structure of sumsets of finite integer sets.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.12371003)。
文摘Let A be a finite set of integers. For any integer h ≥ 2, let hA and h∧A be the sets of all sums of h elements of A and all sums of h distinct elements of A, respectively.In this paper, we survey some significant advances in additive combinatorics concerning the size and structure of sumsets of finite integer sets.