关于限制性m-位分拆函数

数学季刊 ›› 2012, Vol. 27 ›› Issue (2): 165-168.

关于限制性m-位分拆函数

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

收稿日期:2009-04-22 出版日期:2012-06-30 发布日期:2023-03-28
作者简介:CHEN Shi-chao(1979-), male, native of Nanyang, Henan, an associate professor of Henan University, engages in number theory.
基金资助:
Supported by the National Natural Science Foundation of China(11101123)； Supported by the Natural Science Foundation of Education Department of Henan Province(2009A110001)

On a Restrict m-ary Partition Function

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)

摘要/Abstract

摘要： Let n,m,k be positive integers and b_m,k be the number of representations of n as n = m^a0 + m^a1 + ··· + m^aj with 0 ≤ a₀ ≤ a₁ ≤···≤ a_j<k. In this note, we obtain some congruences and distribution properties of b_m,k.

关键词: m-ary partition, congruence

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

Key words: m-ary partition, congruence

中图分类号:

O156

陈士超, 车颖涛. 关于限制性m-位分拆函数[J]. 数学季刊, 2012, 27(2): 165-168.

CHEN Shi-chao, CHE Ying-tao. On a Restrict m-ary Partition Function [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 165-168.

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