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179 external citations · OpenAlex

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math.CO 1

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2026 1

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Arithmetic progressions in a random set on a budget

math.CO · 2026-07-23 · accept · novelty 6.0

With t random integers revealed, buying Θ((n/t)^((k−2)/2)) of them is necessary and sufficient to guarantee a k-term arithmetic progression when t ≫ n^(1−2/k).

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  • Arithmetic progressions in a random set on a budget math.CO · 2026-07-23 · accept · none · ref 7

    With t random integers revealed, buying Θ((n/t)^((k−2)/2)) of them is necessary and sufficient to guarantee a k-term arithmetic progression when t ≫ n^(1−2/k).