The Inverse Conjecture for Gowers Norms: Arithmetic Progressions in Dense Sets of Primes
Abstract
We establish a quantitative inverse theorem for the Gowers Us+1-norm over the von Mangoldt function twisted by nilsequences, generalizing the Green-Tao-Ziegler correspondence to transfinite filtrations.
Fields of Study & Subjects
Analytic Number Theory Research
Limits and Structures in Graph Theory
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026