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The fractional parts of \(\frac{N}{K}\) - MaRDI portal

The fractional parts of \(\frac{N}{K}\) (Q2752205)

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scientific article; zbMATH DE number 1665500
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The fractional parts of \(\frac{N}{K}\)
scientific article; zbMATH DE number 1665500

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    20 May 2003
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    The fractional parts of \(\frac{N}{K}\) (English)
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    Proof of the following formula and related results: \(\lim_{n\to \infty} {1\over n}\sum^n_{k=1} \{{n\over k}\}= 1-\gamma\), where \(\gamma\) is Euler's constant and \(\{x\}\) is the fractional part of \(x\).NEWLINENEWLINEFor the entire collection see [Zbl 0964.00028].
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