| 一类限制m元over-分拆同余式 |
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| 引用本文： | 卢青林,苗正科.一类限制m元over-分拆同余式[J].数学研究及应用,2010,30(5):939-943. |
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| 作者姓名： | 卢青林 苗正科 |
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| 作者单位： | 徐州师范大学数学科学学院, 江苏 徐州 221116;徐州师范大学数学科学学院, 江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金(Grant Nos.10771100;10871166),江苏省自然科学基金(Grant No.BK2007030),江苏省高校自然科学基金(Grant Nos.06KJD110179;07KJD110207). |
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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）.
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| 关 键 词： | partition overpartition m-ary overpartition generating function. |
| 收稿时间： | 2008/7/14 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
Congruences for a Restricted m-ary Overpartition Function |
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| Qing Lin LU and Zheng Ke MIAO.Congruences for a Restricted m-ary Overpartition Function[J].Journal of Mathematical Research with Applications,2010,30(5):939-943. |
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| Authors: | Qing Lin LU and Zheng Ke MIAO |
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| Institution: | School of Mathematical Sciences,Xuzhou Normal University,Jiangsu 221116,P.R.China |
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| Abstract: | We discuss a family of restricted $m$-ary overpartition functions $\bar{b}_{m, j}(n)$, 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 $\bar{b}_{m, lm-1}(n)$. |
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| Keywords: | partition overpartition $m$-ary overpartition generating function |
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