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arXiv · 2409.06121

On new minimal excludants of overpartitions related to some $q$-series of Ramanujan

Aritram Dhar·Avi Mukhopadhyay·Rishabh Sarma
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Abstract

Inspired by Andrews' and Newman's work on the minimal excludant or "mex" of partitions, we define four new classes of minimal excludants for overpartitions and establish relations to certain functions due to Ramanujan.

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Aritram Dhar, Avi Mukhopadhyay, Rishabh Sarma. 2024-09-10. On new minimal excludants of overpartitions related to some $q$-series of Ramanujan. https://arxiv.org/abs/2409.06121

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