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On new minimal excludants of overpartitions related to some $q$-series of Ramanujan
Published 10 Sep 2024 in math.NT and math.CO | (2409.06121v2)
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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