Student Number Theory Seminar

Akshaa Vatwani, Department of Pure Mathematics, University of Waterloo

"Variants of equidistribution in arithmetic progressions"

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 Mobius function, and show its relevance to the twin prime conjecture.

MC 5403