| _version_ | 1866901123731816448 |
|---|---|
| author | Fagliari, Tiago |
| author_facet | Fagliari, Tiago |
| contents | <p><br>The Riemann zeta function is central to analytic number theory and the study of prime numbers. It has several equivalent representations: as a Dirichlet series, an Euler product, an integral representation, and even in terms of its derivative. In this document, we introduce a unified parameter \(I\) that is defined to be equal to the various representations of the zeta function and its associated formulas. Our aim is to encapsulate these identities in one common value while also noting the aspects that remain open or are only known numerically.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15208016 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Detailed List of Open Problems in Mathematics (Unresolved Challenges) Fagliari, Tiago <p><br>The Riemann zeta function is central to analytic number theory and the study of prime numbers. It has several equivalent representations: as a Dirichlet series, an Euler product, an integral representation, and even in terms of its derivative. In this document, we introduce a unified parameter \(I\) that is defined to be equal to the various representations of the zeta function and its associated formulas. Our aim is to encapsulate these identities in one common value while also noting the aspects that remain open or are only known numerically.</p> |
| title | A Detailed List of Open Problems in Mathematics (Unresolved Challenges) |
| url | https://doi.org/10.5281/zenodo.15208016 |