A note on cube-full numbers in arithmetic progression (Q2034593)
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scientific article; zbMATH DE number 7361999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on cube-full numbers in arithmetic progression |
scientific article; zbMATH DE number 7361999 |
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A note on cube-full numbers in arithmetic progression (English)
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22 June 2021
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Summary: We obtain an asymptotic formula for the cube-full numbers in an arithmetic progression \(n\equiv l(\mod q)\), where \((q,l)=1\). By extending the construction derived from Dirichlet's hyperbola method and relying on Kloosterman-type exponential sum method, we improve the very recent error term with \(x^{(118/4029)}<q\).
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