PAPER / ARXIV:2609.15788

Another proof of the $U^4(\mathbf{F}_p^n)$-inverse theorem

Sarah Peluse

Combinatória · cruzada Teoria dos números

RESUMO

We give a new and shorter proof of a quantitative inverse theorem for the Gowers $U^4$-norm in the setting of high-dimensional vector spaces over finite fields.

NO MESMO MAPA

Papers relacionados

math.DS18 de set. de 2026

Infinite prime sumsets in structured and $U^k(Φ)$-uniform sets

Felipe Hernández , Tristán Radić

Another proof of the $U^4(\mathbf{F}_p^n)$-inverse theorem

Papers relacionados

Infinite prime sumsets in structured and $U^k(Φ)$-uniform sets

Rogers--Ramanujan identities from the geometry of $X^a=Y^b$

A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd parts

A complete classification of permutation binomials of the form $X^r(X^{q-1}+a)$ over finite fields

Sumsets of Ahlfors--David regular sets

Combinatorics of hyperplane arrangements and Witten zeta function at the origin