【摘 要】
：
We prove that, for any prime p and positive integer r with pr ＞ 2, the number of multinomial coefficients such that (k k1, k2, … , kn)=pr, and k1+2k2+…+nkn=n,i
【机 构】
：
DepartmentofMathematics,ShanghaiKeyLaboratoryofPMMP,EastChinaNormalUniversity,Shanghai200241,China
论文部分内容阅读
We prove that, for any prime p and positive integer r with pr ＞ 2, the number of multinomial coefficients such that (k k1, k2, … , kn)=pr, and k1+2k2+…+nkn=n,is given by δpr,k([n-1/pr-1]-δ0,n mod pr),where δi,j is the Kronecker delta and [x] stands for the largest integer not exceeding x.This confirms a recent conjecture of Mircea Merca.
其他文献
Since Gauss firstly proved quadratic reciprocity law in 1796, there are almost 200 proves about it nowadays.With the great zeal to quadratic residue theorem, th
A proper edge coloring of a graph G is called adjacent vertex distinguishing, if any pair of adjacent vertices meets distinct color sets.The adjacent vertex dis
Armstrong, Hanusa and Jones conjectured that if s, t are coprime integers, then the average size of an (s, t)-core partition and the average size of a self-conj
日前,国家统计局发布2019年城镇非私营单位、城镇私营单位和规模以上企业分岗位就业人员年平均工资情况.数据显示,2019年,全国城镇单位就业人员平均工资稳步增长,公共服务和
We investigate the set of cycle lengths occurring in bipartite graphs with large minimum degree.A bipartite graph is weakly bipancyclic if it contains cycles of
A plane graph G =(V, E, F) is called entirely k-colorable if there exists a mapping c : V∪E∪F → {1, 2,… , k} such that any two adjacent or incident elements
请下载后查看，本文暂不支持在线获取查看简介。
Please download to view, this article does not support online access to view profile.
A graph G is locally planar if it is embedded in a surface with large edge-width.Thomassen [Five-coloring maps on surfaces, J.Combin.Theory Ser.B, 59 (1993) 89-
请下载后查看，本文暂不支持在线获取查看简介。
Please download to view, this article does not support online access to view profile.
Let G be an additive finite abelian group, and let S be a sequence over G.We say that S is regular if for every proper subgroup H (c) G, S contains at most |H|-