On a Restrict m-ary Partition Function  

作　　者：CHEN Shi-chao CHE Ying-tao 

机构地区：[1]Institute of Contemporary Mathematics, Henan University, Kaifeng 475001, China [2]College of Mathematics and Information Science, Henan University, Kaifeng 475001, China

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第2期165-168,共4页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（11101123）; Supported by the Natural Science Foundation of Education Department of Henan Province（2009A110001）

摘　　要：Let n,m,k be positive integers and b_(m,k) be the number of representations of n as n = m^(a_0) + m^(a_1) + ··· + m^(a_j) with 0 ≤ a_0 ≤ a_1 ≤···≤ a_j < k.In this note,we obtain some congruences and distribution properties of b_(m,k).Let n, m, k be positive integers and bm,k be the number of representations of n as n = m^a0 ＋ m^a1 ＋ … ＋ m^aj with 0 ≤ a0 ≤a1 ≤… ≤aj ≤ k. In this note, we obtain some congruences and distribution properties of bm,k.

关 键 词：m-ary partition CONGRUENCE 

分 类 号：O156.1[理学—数学] O157.1[理学—基础数学]