| Congruences for a Restricted m-ary Overpartition Function |
| Received:July 14, 2008 Revised:June 30, 2009 |
| Key Words:
partition overpartition $m$-ary overpartition generating function.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10771100; 10871166), the Natural Science Foundation of Jiangsu Province (Grant No.BK2007030) and the Natural Science Foundation of Jiangsu Educational Committee (Grant Nos.06KJD110179; 07KJD110207). |
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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 $\bar{b}_{m, lm-1}(n)$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.05.024 |
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