On a Bessel function series related to the Riemann xi function
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915798647308288 |
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| author | Patkowski, Alexander E. |
| author_facet | Patkowski, Alexander E. |
| contents | We establish new Fourier integral evaluations involving the Riemann xi function related to a series involving Bessel function of the first kind. We show this infinite series involving the Bessel function of the first kind solves a boundary value problem for the cylindrical heat equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16423 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a Bessel function series related to the Riemann xi function Patkowski, Alexander E. Classical Analysis and ODEs Number Theory We establish new Fourier integral evaluations involving the Riemann xi function related to a series involving Bessel function of the first kind. We show this infinite series involving the Bessel function of the first kind solves a boundary value problem for the cylindrical heat equation. |
| title | On a Bessel function series related to the Riemann xi function |
| topic | Classical Analysis and ODEs Number Theory |
| url | https://arxiv.org/abs/2303.16423 |