The Fibonacci Zeta Function and Modular Forms
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916595216941056 |
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| author | Assaf, Eran Kuan, Chan Ieong Lowry-Duda, David Walker, Alexander |
| author_facet | Assaf, Eran Kuan, Chan Ieong Lowry-Duda, David Walker, Alexander |
| contents | We show that a family of Dirichlet series generalizing the Fibonacci zeta function $\sum F(n)^{-s}$ has meromorphic continuation in terms of dihedral $\mathrm{GL}(2)$ Maass forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01415 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Fibonacci Zeta Function and Modular Forms Assaf, Eran Kuan, Chan Ieong Lowry-Duda, David Walker, Alexander Number Theory We show that a family of Dirichlet series generalizing the Fibonacci zeta function $\sum F(n)^{-s}$ has meromorphic continuation in terms of dihedral $\mathrm{GL}(2)$ Maass forms. |
| title | The Fibonacci Zeta Function and Modular Forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2502.01415 |