School of Mathematics Seminars and Lectures

`Variants of equidistribution in arithmetic progressions'

by Dr. Akshaa Vatwani (University of Waterloo, Canada)

Tuesday, August 8, 2017 from to (Asia/Kolkata)
at TIFR, Mumbai ( AG-77 )
Description
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 multiplicative functions. We derive some variants of such results
and give a few applications. We also discuss an interesting application
that relates to the Chowla conjecture on correlations of the M\"obius
function, and show its relevance to the twin prime conjecture.