Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (2): 165-168.

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On a Restrict m-ary Partition Function 

  

  1. 1. Institute of Contemporary Mathematics, Henan University 2. College of Mathematics and Information Science, Henan University

  • Received:2009-04-22 Online:2012-06-30 Published:2023-03-28
  • About author:CHEN Shi-chao(1979-), male, native of Nanyang, Henan, an associate professor of Henan University, engages in number theory.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11101123); Supported by the Natural Science Foundation of Education Department of Henan Province(2009A110001)

Abstract: Let n,m,k be positive integers and bm,k be the number of representations of n as n = ma0 + ma1 + ··· + maj with 0 ≤ a0 ≤ a1 ≤···≤ aj<k. In this note, we obtain some congruences and distribution properties of bm,k.

Key words: m-ary partition, congruence

CLC Number: