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Unlimited parity alternating partitions
Shane Chern · 2018-03-03 · via math.CO updates on arXiv.org

We introduce a new type of partitions that consists of partitions whose different parts alternate in parity (e.g., $3+2+2+1+1$). Various properties of this partition function are studied. In particular, we obtain its asymptotic behavior by employing Ingham's Tauberian theorem.

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