On the distribution of squarefree numbers (Q746939)
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scientific article; zbMATH DE number 6497375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distribution of squarefree numbers |
scientific article; zbMATH DE number 6497375 |
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On the distribution of squarefree numbers (English)
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21 October 2015
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Let \(\sum_{n\leq x}|\mu(n)|=6{\pi}^{-2}x+\Delta(x)\). The paper proves the following Theorem. Assuming RH, there holds \(\Delta(x)=O(x^{11/35+\varepsilon})\). The proofs use new estimates for multiple exponential sums.
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squarefree numbers
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Riemann hypothesis
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exponential sums
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