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A non-flag arithmetic regularity lemma and counting lemma
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AbstractGreen 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 apply to all systems of linear forms.
Title: A non-flag arithmetic regularity lemma and counting lemma
Description:
AbstractGreen 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 apply to all systems of linear forms.
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