Mixed moments of Hecke eigenforms and $L$-functions
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911554778169344 |
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| author | Huang, Bingrong |
| author_facet | Huang, Bingrong |
| contents | In this paper, we establish estimates for the expectation and variance of the mixed $(2,2)$-moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product $L$-functions. The proofs are based on moments of $L$-functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed moments of Hecke eigenforms and $L$-functions Huang, Bingrong Number Theory In this paper, we establish estimates for the expectation and variance of the mixed $(2,2)$-moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product $L$-functions. The proofs are based on moments of $L$-functions. |
| title | Mixed moments of Hecke eigenforms and $L$-functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.01835 |