A Stronger Generalization of the Riemann Functional Equation
A generalization of the Riemann functional equation that has a broader validity domain than the one available in the literature is introduced. The insight that led to this new relation came from a new formula for the zeta function created herein that implies the Riemann functional equation. Further developments that stem from new formulae introduced previously are also discussed. PS I find it absolutely disgraceful that this paper was rejected by the arxiv. The arxiv has some really messed up approach to paper moderation: arcane, secretive, non-transparent, inconsistent and even authoritarian. It was originally supposed to be just a preprint repository but it has become too presumptuous ever since, like they are the final judge of mathematical ideas. Maybe I'm too ignorant or clumsy and didn't check carefully if this result already existed in the literature, because being deja-vu is the only acceptable justification for this finding to be dismissed as unworthy. Other than that it definitely has value. [I've probably been blacklisted -- and I do admit that I have tried to upload heterodox papers in the past (the RH), but will I be punished forever for a one time mistake?] PS I've found a way to get rid of the imaginary part, expect an update soon.
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-06-18
- DOI
- https://doi.org/10.5281/zenodo.15760704
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00