Extends the divisor problem over Piatetski-Shapiro sequences to general f(n) ≪ n^ε of the form ∑ τ(n1)g(n2) under ∑|g(n)| ≪ x^{5/8+ε}, and treats the same functions in arithmetic progressions.
Vaaler, Some extremal functions in Fourier analysis
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On general divisor functions over Piatetski-Shapiro sequences
Extends the divisor problem over Piatetski-Shapiro sequences to general f(n) ≪ n^ε of the form ∑ τ(n1)g(n2) under ∑|g(n)| ≪ x^{5/8+ε}, and treats the same functions in arithmetic progressions.