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A non-flag arithmetic regularity lemma and counting lemma (2209.14083v1)
Published 28 Sep 2022 in math.CO, math.DS, and math.NT
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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