M. Ram Murty (Queen's University)
Date
Monday February 26, 20242:30 pm - 3:30 pm
Location
Jeffery Hall, Room 202Event Category
Number Theory Seminar
Monday, February 26th, 2024
Time: 2:30 p.m. Place: Jeffery Hall, Room 202
Speaker: M. Ram Murty (Queen's University)
Title: THE WIENER-IKEHARA TAUBERIAN THEOREM REVISITED
Abstract: The celebrated Wiener-Ikehara Tauberian theorem is a versatile result used in analytic number theory to produce "instant asymptotic formulas" simply from knowing analytic continuation of associated Dirichlet series. We will give a new proof of this result using Fourier analysis. Our method also produces an error term which the classical approach does not. This is joint work with Jagannath Sahoo and Akshaa Vatwani at IIT Gandhinagar.