$L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909524536852480 |
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| author | Kaczorowski, Jerzy Perelli, Alberto |
| author_facet | Kaczorowski, Jerzy Perelli, Alberto |
| contents | We present a streamlined account of a recent theorem on the classification of the $L$-functions of degree 2 and conductor 1 from the extended Selberg class. We also present a more general new result dealing with functional equations involving two Dirichlet series. Further, we correct a slip in the original proof of the above theorem, which however does not affect the final result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation Kaczorowski, Jerzy Perelli, Alberto Number Theory 11M41 We present a streamlined account of a recent theorem on the classification of the $L$-functions of degree 2 and conductor 1 from the extended Selberg class. We also present a more general new result dealing with functional equations involving two Dirichlet series. Further, we correct a slip in the original proof of the above theorem, which however does not affect the final result. |
| title | $L$-functions of degree $2$ and conductor $1$: underlying ideas and a generalisation |
| topic | Number Theory 11M41 |
| url | https://arxiv.org/abs/2503.02492 |