Saved in:
| Hovedforfatter: | |
|---|---|
| Format: | Recurso digital |
| Sprog: | |
| Udgivet: |
Zenodo
2025
|
| Fag: | |
| Online adgang: | https://doi.org/10.5281/zenodo.15665182 |
| Tags: |
Tilføj Tag
Ingen Tags, Vær først til at tagge denne postø!
|
Indholdsfortegnelse:
- <div> <div> <div> <p>This paper presents a complete and unconditional proof of a strong form of the Elliott-Halberstam (EH) conjecture and, as a direct consequence, the Twin Prime Conjecture. The proof demonstrates that a failure of the EH conjecture would imply the existence of a widespread ”conspiracy” among prime numbers. We then prove that such a conspiracy would, in turn, necessitate a structure of zeros for Dirichlet L-functions that is rigorously excluded by the established, rock-solid theorems of Page and Siegel. By formalizing this contradiction, we prove that primes are sufficiently well-distributed in arithmetic progressions for modern sieve methods to apply, which unconditionally proves the infinitude of twin primes.</p> </div> </div> </div>