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Asymptotic representations of series and some questions of number theory - MaRDI portal

Asymptotic representations of series and some questions of number theory (Q656388)

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scientific article; zbMATH DE number 5998448
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Asymptotic representations of series and some questions of number theory
scientific article; zbMATH DE number 5998448

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    Asymptotic representations of series and some questions of number theory (English)
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    17 January 2012
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    A generalization of Sonin's formula is derived. Applications regarding Stirling's formula, Euler's constant and the sum \(\sum_{p\leq N} (\log p)/p\) are given.
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    estimates for integrals
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    Sonin's formula
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    Stirling's formula
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    Euler's constant
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