On the generalised Dirichlet divisor problem

Chiara Bellotti; Andrew Yang

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arXiv · 2303.05028

On the generalised Dirichlet divisor problem

Chiara Bellotti·Andrew Yang

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Abstract

We improve unconditional estimates on $\Delta_k(x)$, the remainder term of the generalised divisor function, for large $k$. In particular, we show that $\Delta_k(x) \ll x^{1 - 1.889k^{-2/3}}$ for all sufficiently large fixed $k$.

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Chiara Bellotti, Andrew Yang. 2023-03-09. On the generalised Dirichlet divisor problem. https://arxiv.org/abs/2303.05028

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