On an asymptotic formula of Carlitz-Müller-Berndt (Q1260898)
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scientific article; zbMATH DE number 399097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an asymptotic formula of Carlitz-Müller-Berndt |
scientific article; zbMATH DE number 399097 |
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On an asymptotic formula of Carlitz-Müller-Berndt (English)
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5 September 1993
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Asymptotic formulas are derived for sums of the form \(\sum_{n\leq x} f(n)\log^ r(x/n)\) where \(f(n)\) is one of two types of sums involving products of divisor functions and Dirichlet characters extended over divisors of \(n\).
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asymptotic formulas
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products of divisor functions
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Dirichlet characters
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0.8753481
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0.8657822
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0.8644687
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0.86364394
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0.8628298
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0.8611425
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0.86004126
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