The Wiener-Ikehara Tauberian theorem is an important theorem giving an asymptotic formula for the sum of coefficients of a Dirichlet series. We provide a simple and elegant proof of the Wiener-Ikehara Tauberian theorem which relies only on basic Fourier analysis and known estimates for the given Dirichlet series. This method also allows us to derive a version of the Wiener-Ikehara theorem with an error term. This is joint work with M. Ram Murty and Jagannath Sahoo.

Bio: Akshaa Vatwani is a mathematician working in Number theory. She earned her doctorate in 2016 at Queen's University, Kingston under the supervision of M. Ram Murty and was a postdoctoral fellow at University of Waterloo from 2016 to 2018. Since then, she has been a faculty member at the Indian Institute of Technology, Gandhinagar.