We prove an asymptotic formula for the shifted convolution of the divisor functions d(k)(n) and d(n) with k >= 4, which is uniform in the shift parameter and which has a power saving error term, improving results obtained previously by Fouvry and Tenenbaum and, more recently, by Drappeau.
Zsolt Patakfalvi, Joseph Allen Waldron
Michaël Unser, Julien René Pierre Fageot, John Paul Ward
Giovanni De Micheli, Heinz Riener, Siang-Yun Lee