摘要
For A Zm and n ∈ Zm, let σA（n） be the number of solutions of equation n =x ＋ y, x, y ∈ A. Given a positive integer m, let Rm be the least positive integer r such that there exists a set A Zm with A ＋ A = Zm and σA（n） ≤ r. Recently, Chen Yonggao proved that all Rm ≤ 288. In this paper, we obtain new upper bounds of some special type Rkp2.
For A Zm and n ∈ Zm, let σA（n） be the number of solutions of equation n =x ＋ y, x, y ∈ A. Given a positive integer m, let Rm be the least positive integer r such that there exists a set A Zm with A ＋ A = Zm and σA（n） ≤ r. Recently, Chen Yonggao proved that all Rm ≤ 288. In this paper, we obtain new upper bounds of some special type Rkp2.
基金
Supported by the National Natural Science Foundation of China (Grant Nos. 10901002
10771103)
