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arXiv · 1606.09303

The abelian arithmetic regularity lemma

Sean Eberhard
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Abstract

We give a brief exposition and proof of the arithmetic regularity lemma of Green and Tao in the abelian ($U^2$) case, over $\{1,\dots,N\}$. This may be useful to those who need just the $U^2$ case of the lemma, as the general case is significantly more involved. It may also be useful as an introduction to the general case. No originality is claimed.

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Sean Eberhard. 2016-06-29. The abelian arithmetic regularity lemma. https://arxiv.org/abs/1606.09303

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