Congruences for a Restricted m-ary Overpartition Function

Congruences for a Restricted m-ary Overpartition Function

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摘要 We discuss a family of restricted m-ary overpartition functions bm,j （n）, which is the number of m-ary overpartitions of n with at most i ＋ j copies of the non-overlined part m^i allowed, and obtain a family of congruences for bm,lm-1 （n）. We discuss a family of restricted m-ary overpartition functions bm,j （n）, which is the number of m-ary overpartitions of n with at most i ＋ j copies of the non-overlined part m^i allowed, and obtain a family of congruences for bm,lm-1 （n）.

作者 Qing Lin LU Zheng Ke MIAO

机构地区 School of Mathematical Sciences

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第5期939-943,共5页 数学研究与评论（英文版）

基金 Supported by the National Natural Science Foundation of China (Grant No.s10771100 10871166) the Natural Science Foundation of Jiangsu Province (Grant No.BK2007030) the Natural Science Foundation of Jiangsu Educational Committee (Grant No.s06KJD110179 07KJD110207)

关键词 PARTITION overpartition m-ary overpartition generating function. partition overpartition m-ary overpartition generating function.

分类号 O157.1 [理学—基础数学] O156.1 [理学—基础数学]

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Journal of Mathematical Research and Exposition

2010年第5期

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Congruences for a Restricted m-ary Overpartition Function

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