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arXiv · 2304.01377

A Rademacher-type exact formula for partitions without sequences

Walter Bridges·Kathrin Bringmann
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Abstract

In this paper we prove an exact formula for the number of partitions without sequences. By work of Andrews, the corresponding generating function is a product of a modular form and a mock theta function, giving an overall weight of 0. The proof requires evaluating and bounding Kloosterman sums and the Circle Method

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Walter Bridges, Kathrin Bringmann. 2023-04-03. A Rademacher-type exact formula for partitions without sequences. https://arxiv.org/abs/2304.01377

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