In Search of Approximate Polynomial Dependencies Among the Derivatives of the Alternating Zeta Function
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911418426589184 |
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| author | Matiyasevich, Yuri |
| author_facet | Matiyasevich, Yuri |
| contents | It is well-known that the Riemann zeta function does not satisfy any exact polynomial differential equation. Here we present numerical evidence for the existence of approximate polynomial dependencies between the values of the alternating zeta function and its initial derivatives.
A number of conjectures is stated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03408 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | In Search of Approximate Polynomial Dependencies Among the Derivatives of the Alternating Zeta Function Matiyasevich, Yuri Number Theory 11M26 It is well-known that the Riemann zeta function does not satisfy any exact polynomial differential equation. Here we present numerical evidence for the existence of approximate polynomial dependencies between the values of the alternating zeta function and its initial derivatives. A number of conjectures is stated. |
| title | In Search of Approximate Polynomial Dependencies Among the Derivatives of the Alternating Zeta Function |
| topic | Number Theory 11M26 |
| url | https://arxiv.org/abs/2602.03408 |