Linear forms in primes
Abstract
In this thesis we show that a positive proportion of linear forms in at least four variables admit a solution in the primes that is as small as one would heuristically expect. Out of the linear forms that satisfy certain local solvability conditions, almost all admit small prime solutions.
Fields of Study & Subjects
Analytic Number Theory Research
Limits and Structures in Graph Theory
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- eDiss (Georg-August-Universität Göttingen)
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Thesis