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Exact universal normalizations for the Gál--Koksma lemma

Lee, Ying Wai
arXiv (All) · Papers
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number-theory
The Gál--Koksma lemma is a standard tool for converting quadratic-mean estimates on consecutive blocks into almost-everywhere bounds for partial sums, without assumptions of independence, mixing, or orthogonality. A natural open problem is to determine exactly which universal growth normalizations a
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