The Jamneshan-Tao conjecture for finite abelian groups of bounded rank

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Pablo Candela, Diego González-Sánchez, Balázs Szegedy
DOI: 10.48550/arxiv.2601.08810
Cited by: 0

Abstract

We confirm the Jamneshan-Tao conjecture for finite abelian groups of rank at most a fixed integer $R$ (i.e. finite abelian groups generated by at most $R$ elements), by proving an inverse theorem for 1-bounded functions of non-trivial Gowers norm on such groups, concluding that such a function must correlate non-trivially with a nilsequence of bounded complexity.

Fields of Study & Subjects

Limits and Structures in Graph Theory Analytic Number Theory Research Finite Group Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 January 2026
Language
EN
Document type
Preprint