Congruences for the k dots bracelet partition functions
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braceletdotspartitionscongruencesfunctionmodulopartitionarithmetic
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By finding the congruent relations between the generating function of the 5 dots bracelet partitions and that of the 5-regular partitions, we get some new congruences modulo 2 for the 5 dots bracelet partition function. Moreover, for a given prime $p$, we study the arithmetic properties modulo $p$ of the $k$ dots bracelet partitions.
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