L-functions in Analytic Number Theory: Alisa Sedunova
- Date: 02/08/2023
- Time: 12:00
Lecturer(s):
Alisa Sedunova, Saint Petersburg State University & CRM
Location:
University of Lethbridge
Topic:
A logarithmic improvement in the Bombieri-Vinogradov theorem [video]
Description:
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: