A note on cube-full numbers in arithmetic progression
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 \(x^{(118/4029)}<q\).
scientific article; zbMATH DE number 7361999
scientific article