Speaker
Prahlad Sharma, MPI Bonn
Abstract
We obtain the exponent of distribution 1/2+1/30 for the ternary divisor function d_3 to square-free and prime power moduli, improving the previous results of Fouvry–Kowalski–Michel, Heath-Brown, and Friedlander–Iwaniec. The key input is certain estimates on bilinear sums with GL(2) coefficients obtained using the delta symbol approach.
Prahlad Sharma: Bilinear sums with (GL(2)) coefficients and the exponent of distribution of (d_3)
Date: 2024-02-23
Time: 10:00 - 10:50