For a sum of the divisor function over rounded quotients x/n^c, this note proves an asymptotic formula with an error exponent that improves Feng's estimate for all c > 2/9.
Jutila, Lectures on a Method in the Theory of Exponential Sums , Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol
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Note on a sum involving the divisor function
For a sum of the divisor function over rounded quotients x/n^c, this note proves an asymptotic formula with an error exponent that improves Feng's estimate for all c > 2/9.