Bilinear sums with $GL(2)$ coefficients and the exponent of distribution of $d_3$


Event details

Date 01.06.2023
Hour 14:1516:00
Speaker Prahlad Sharma (Renyi Institute)
Category Conferences - Seminars
Event Language English

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.

Practical information

  • Informed public
  • Free


  • Philippe Michel


  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

Event broadcasted in