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arXiv · 2307.10441

Exact formula for 1-lower run overpartitions

Lukas Mauth
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Abstract

We are going to show an exact formula for lower $1$-run overpartitions. The generating function is of mixed mock-modular type with an overall weight $0.$ We will apply an extended version of the classical Circle Method. The approach requires bounding modified Kloosterman sums and Mordell integrals.

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Lukas Mauth. 2023-07-19. Exact formula for 1-lower run overpartitions. https://arxiv.org/abs/2307.10441

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