L-functions in Analytic Number Theory: Alisa Sedunova

  • Date: 02/08/2023
  • Time: 12:00
Alisa Sedunova, Saint Petersburg State University & CRM

University of Lethbridge


A logarithmic improvement in the Bombieri-Vinogradov theorem [video]


We improve the best known to date result of Dress-Iwaniec-Tenenbaum, getting (log x)^2 instead of (log x)^(5/2). We use a weighted form of Vaughan's identity, allowing a smooth truncation inside the procedure, and an estimate due to Barban-Vehov and Graham related to Selberg's sieve. We give effective and non-effective versions of the result.


This event is part of the PIMS CRG Group on L-Functions in Analytic Number Theory. More details can be found on the webpage here: https://sites.google.com/view/crgl-functions/crg-weekly-seminar?authuser=0  


A recording of this event is available on mathtube.org.

Other Information: 

Time: Wednesdays, 12-1 pm Pacific/ 1-2 pm Mountain


Join via ZoomRegister for link