Dear all,
The next speaker in our seminar is Akshaa Vatwani of IIT, Gandhinagar
Talk Announcement:
Title: Limitations to equidistributio
Speaker: Akshaa Vatwani (IIT, Gandhinagar)
When: Thursday, October 28, 2021 - 4:00 PM - 5:00 PM (IST)
Where: Zoom:
Live Link: https://youtu.be/QzEOE5fhr3I
Tea or Coffee: Please bring your own.
Abstract:
It is well known that the prime numbers are equidistributed in arithmetic progressions. Such a phenomenon is also observed more generally for a class of arithmetic functions. A key result in this context is the Bombieri-Vinogradov theorem which establishes that the primes are equidistributed in arithmetic progressions ``on average" for moduli
in the range 
for any 
. In 
, building on an idea of Maier, Friedlander and Granville showed that such equidistribution results fail if the range of the moduli is extended to %5EB "q \le x/ (\log x)^B")
for any 
. We discuss variants of this result and give some applications. This is joint work with Aditi Savalia.
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