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arXiv · 2412.11508

Legendre theorems for certain overpartitions and overpartition pairs

George E. Andrews·Mohamed El Bachraoui
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Abstract

Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subclasses of overpartitions and overpartition pairs.

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George E. Andrews, Mohamed El Bachraoui. 2024-12-16. Legendre theorems for certain overpartitions and overpartition pairs. https://arxiv.org/abs/2412.11508

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