Additive bases of C-p circle plus C-p(n)

作者：Qu, Yongke^*; Han, Dongchun

来源：International Journal of Number Theory, 2017, 13(9): 2453-2459.

DOI：10.1142/S1793042117501342

• Finite abelian group
• additive bases
• regular sequence

Let G be a finite abelian group, and p be the smallest prime dividing vertical bar G vertical bar. Let S be a sequence over G. We say that S is regular if for every proper subgroup H subset of G, S contains at most vertical bar H vertical bar- 1 terms fromH. Let c(0)(G) be the smallest integer t such that every regular sequence S over G of length vertical bar S vertical bar >= t forms an additive basis of G, i.e. Sigma(S) = G. In this paper, we show that c(0)(C-p circle plus C-p(n)) = p(n) + 2p - 3 where n >= 2.

• 出版日期2017-10
• 单位洛阳师范学院