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arXiv · 2507.19528

The Eighth Power Moments of $\Delta(x)$

Junhao Liao·Junjie Liao
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Abstract

Using Voronoi's truncated formula for $\Delta(x)$ involving Bessel functions, the first author derives an asymptotic formula for the eighth-power moments with an error term of order $O\left(X^{3 - \frac{1}{254} + \varepsilon}\right)$

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Junhao Liao, Junjie Liao. 2025-07-21. The Eighth Power Moments of $\Delta(x)$. https://arxiv.org/abs/2507.19528

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