On the higher moments of the error term in the Rankin-Selberg problem
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913809977835520 |
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| author | Huang, Jing Tanigawa, Yoshio Zhai, Wenguang Zhang, Deyu |
| author_facet | Huang, Jing Tanigawa, Yoshio Zhai, Wenguang Zhang, Deyu |
| contents | Let $Δ_1(x;φ)$ denote the error term in the classical Rankin-Selberg problem. In this paper, we consider the higher power moments of $Δ_1(x;φ)$ and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the higher moments of the error term in the Rankin-Selberg problem Huang, Jing Tanigawa, Yoshio Zhai, Wenguang Zhang, Deyu Number Theory 11N37 Let $Δ_1(x;φ)$ denote the error term in the classical Rankin-Selberg problem. In this paper, we consider the higher power moments of $Δ_1(x;φ)$ and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results. |
| title | On the higher moments of the error term in the Rankin-Selberg problem |
| topic | Number Theory 11N37 |
| url | https://arxiv.org/abs/2504.18862 |