On the harmonic continuation of the Riemann xi function
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912265918218240 |
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| author | Patkowski, Alexander E. |
| author_facet | Patkowski, Alexander E. |
| contents | We generalize the harmonic continuation of the Riemann xi-function to the $n$-dimension case, to obtain the solution to the Dirichlet problem on $\mathbb{R}_{+}^{n+1}.$ We also provide a new expansion for the harmonic continuation of the Riemann xi-function using an expansion given by R.J. Duffin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00438 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the harmonic continuation of the Riemann xi function Patkowski, Alexander E. Classical Analysis and ODEs We generalize the harmonic continuation of the Riemann xi-function to the $n$-dimension case, to obtain the solution to the Dirichlet problem on $\mathbb{R}_{+}^{n+1}.$ We also provide a new expansion for the harmonic continuation of the Riemann xi-function using an expansion given by R.J. Duffin. |
| title | On the harmonic continuation of the Riemann xi function |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2301.00438 |