The Eighth Power Moments of $Δ(x)$
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | |
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| _version_ | 1866913960236679168 |
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| author | Liao, Junhao Liao, Junjie |
| author_facet | Liao, Junhao Liao, Junjie |
| contents | Using Voronoi's truncated formula for $Δ(x)$ involving Bessel functions, the first author derives an asymptotic formula for the eighth-power moments with an error term of order $O\left(X^{3 - \frac{1}{254} + \varepsilon}\right)$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19528 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Eighth Power Moments of $Δ(x)$ Liao, Junhao Liao, Junjie Number Theory Using Voronoi's truncated formula for $Δ(x)$ involving Bessel functions, the first author derives an asymptotic formula for the eighth-power moments with an error term of order $O\left(X^{3 - \frac{1}{254} + \varepsilon}\right)$ |
| title | The Eighth Power Moments of $Δ(x)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.19528 |