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arXiv · 2204.14196

Hybrid subconvexity and the partition function

Nickolas Andersen·Han Wu
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Abstract

We give an upper bound for the error term in the Hardy-Ramanujan-Rademacher formula for the partition function. The main input is a new hybrid subconvexity bound for the central value $L(\tfrac 12,f\times (\tfrac{q}{\cdot}))$ in the $q$ and spectral parameter aspects, where $f$ is a Hecke-Maass cusp form for $\Gamma_0(N)$ and $q$ is a fundamental discriminant.

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Nickolas Andersen, Han Wu. 2022-04-29. Hybrid subconvexity and the partition function. https://arxiv.org/abs/2204.14196

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