| _version_ | 1866901742721957888 |
|---|---|
| author | Cespedes, Ricky |
| author_facet | Cespedes, Ricky |
| contents | <p>(Before you go forward you must first look into my other paper relating to P Vs NP and how HPHE is involved with that because it's involved in this problem as well and how it resolves it. Look in my profile to read it please. Their both just two pages long)</p> <p>This manuscript presents a definitive proof of the Riemann Hypothesis using the Hybrid Piecewise Heuristic Equation (HPHE) framework. By applying the HPHE to the critical line \zeta(s) = 0, we demonstrate that all non-trivial zeros must strictly possess a real part of 1/2.</p> <p>Using the framework’s inherent C^1 continuity and heuristic transition mapping, we bridge the gap between the distribution of prime numbers and the analytic properties of the Zeta function. This work establishes that the HPHE is not only a solution for computational complexity (P vs NP) but also the governing bridge for the distribution of primes. Included are the mathematical derivations and logical benchmarks that confirm the alignment of the HPHE with the established Riemann Zeta function properties."</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18239402 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Hybrid Piecewise Heuristic Equation as a Solution to Riemann Hypothesis Cespedes, Ricky Pure mathematics <p>(Before you go forward you must first look into my other paper relating to P Vs NP and how HPHE is involved with that because it's involved in this problem as well and how it resolves it. Look in my profile to read it please. Their both just two pages long)</p> <p>This manuscript presents a definitive proof of the Riemann Hypothesis using the Hybrid Piecewise Heuristic Equation (HPHE) framework. By applying the HPHE to the critical line \zeta(s) = 0, we demonstrate that all non-trivial zeros must strictly possess a real part of 1/2.</p> <p>Using the framework’s inherent C^1 continuity and heuristic transition mapping, we bridge the gap between the distribution of prime numbers and the analytic properties of the Zeta function. This work establishes that the HPHE is not only a solution for computational complexity (P vs NP) but also the governing bridge for the distribution of primes. Included are the mathematical derivations and logical benchmarks that confirm the alignment of the HPHE with the established Riemann Zeta function properties."</p> |
| title | Hybrid Piecewise Heuristic Equation as a Solution to Riemann Hypothesis |
| topic | Pure mathematics |
| url | https://doi.org/10.5281/zenodo.18239402 |