`Variants of equidistribution in arithmetic progressions'

by Dr Akshaa Vatwani (University of Waterloo, Canada)

Tuesday 8 Aug 2017, 08:00 → 09:00 Asia/Kolkata

AG-77 (TIFR, Mumbai)

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.