A non-flag arithmetic regularity lemma and counting lemma
Combinatorics
2025-07-09 v1 Dynamical Systems
Number Theory
Abstract
Green and Tao's arithmetic regularity lemma and counting lemma together apply to systems of linear forms which satisfy a particular algebraic criterion known as the `flag condition'. We give an arithmetic regularity lemma and counting lemma which applies to all systems of linear forms.
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Cite
@article{arxiv.2209.14083,
title = {A non-flag arithmetic regularity lemma and counting lemma},
author = {Daniel Altman},
journal= {arXiv preprint arXiv:2209.14083},
year = {2025}
}
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47 pages