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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09707 |
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| _version_ | 1866908953985679360 |
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| author | Ribeiro, Pedro |
| author_facet | Ribeiro, Pedro |
| contents | W. L. Ferrar seems to have been the first mathematician to clearly draw a connection between the functional aspects of a summation formula and the behavior of the Dirichlet series underlying it. Taking a formula due to him as a starting point, I will describe some new generalizations of Ferrar's formulas and how these were actually obtained after learning a great deal from Semyon. I also present a very concise overview of the underlying theory of summation formulas and how the Mellin transform has been the link between mine and Professor Yakubovich's interests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09707 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analogues of a formula of Ferrar: what I have learned from Semyon Yakubovich Ribeiro, Pedro History and Overview W. L. Ferrar seems to have been the first mathematician to clearly draw a connection between the functional aspects of a summation formula and the behavior of the Dirichlet series underlying it. Taking a formula due to him as a starting point, I will describe some new generalizations of Ferrar's formulas and how these were actually obtained after learning a great deal from Semyon. I also present a very concise overview of the underlying theory of summation formulas and how the Mellin transform has been the link between mine and Professor Yakubovich's interests. |
| title | Analogues of a formula of Ferrar: what I have learned from Semyon Yakubovich |
| topic | History and Overview |
| url | https://arxiv.org/abs/2604.09707 |