Congruences for broken 3-diamond and 7 dots bracelet partitions |
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Authors: | Su-Ping Cui Nancy S S Gu |
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Institution: | 1. Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin, 300071, P.R. China
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Abstract: | Andrews and Paule introduced broken k-diamond partitions by using MacMahon’s partition analysis. Later, Fu found a generalization which he called k dots bracelet partitions. In this paper, with the aid of Farkas and Kra’s partition theorem and a p-dissection identity of f(?q), we derive many congruences for broken 3-diamond partitions and 7 dots bracelet partitions. |
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