Bilinear sums with $GL(2)$ coefficients and the exponent of distribution of $d_3$
|Hour||14:15 › 16:00|
|Speaker||Prahlad Sharma (Renyi Institute)|
|Category||Conferences - Seminars|
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.
- Informed public
- Philippe Michel
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)