Mixed integral moments of the Hecke $L$-functions and Riemann zeta function
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915783721877504 |
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| author | Chen, Zhaoyan |
| author_facet | Chen, Zhaoyan |
| contents | In this paper, let $f$ be a Hecke cusp form for $SL(2,\mathbb{Z})$. We establish an asymptotic formula for the mixed moment of $ζ^{2}(s)$ and $L(s,f)$ on the critical line, valid for both holomorphic and Maass forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19177 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mixed integral moments of the Hecke $L$-functions and Riemann zeta function Chen, Zhaoyan Number Theory In this paper, let $f$ be a Hecke cusp form for $SL(2,\mathbb{Z})$. We establish an asymptotic formula for the mixed moment of $ζ^{2}(s)$ and $L(s,f)$ on the critical line, valid for both holomorphic and Maass forms. |
| title | Mixed integral moments of the Hecke $L$-functions and Riemann zeta function |
| topic | Number Theory |
| url | https://arxiv.org/abs/2601.19177 |