Debika Banerjee (IIIT, Delhi) 24 June 2021 - 3:55 PM - 5:00 PM (IST)

Our next speaker is Debika Banerjee from IIIT, Delhi. Her talk is on a special function and its application to number theory. Really!

Talk Announcement:

Title: Bessel functions and their application to classical number theory

Speaker: Debika Banerjee (Indraprastha Institute of Information Technology (IIIT), Delhi)

 

When: June 24, 2021 - 3:55 PM - 5:00 PM (IST)

Where: Zoom (Please write to sfandnt@gmail.com for the link)

 

Live link: https://youtu.be/zWksTp6g0rw

Tea or Coffee: Please bring your own.

Abstract: Finding solutions of differential equations has been a problem in pure mathematics since the invention of calculus by Newton and Leibniz in the 17th century.  Bessel functions are solutions of a particular differential equation, called Bessel’s equation. In classical analytic number theory, there are several summation formulas or trace formulas involving Bessel functions. Two prominent such are the Kuznetsov trace formula and the Voronoi summation formula. In this talk, I will present some Voronoi type summation formulas and its application to Number theory.