Partition-regular complexity-1 arithmetic patterns admit exception-free induced removal: few pattern occurrences imply a small recolouring makes the space pattern-free.
A lower bound for the strong arithmetic regularity lemma
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Induced arithmetic removal for partition-regular patterns of complexity 1
Partition-regular complexity-1 arithmetic patterns admit exception-free induced removal: few pattern occurrences imply a small recolouring makes the space pattern-free.