M. Ram Murty (成人大片 University)

Date

Monday February 26, 2024
2:30 pm - 3:30 pm

Location

Jeffery Hall, Room 202

Number Theory Seminar

Monday, February 26th, 2024

Time: 2:30 p.m.  Place: Jeffery Hall, Room 202

Speaker: M. Ram Murty (成人大片)

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.