Rajat Gupta (IIT, Gandhinagar) - Thursday, Aug 19, 2021 - 3:55 PM - 5:00 PM (IST)

The next talk is by Rajat Gupta -- or shall we say Dr. Rajat Gupta!

Here is the announcement.

Talk Announcement:

Title: Koshliakov zeta functions and modular relations

Speaker: Rajat Gupta (IIT, Gandhinagar)

 

When: Thursday, Aug 19, 2021 - 3:55 PM - 5:00 PM (IST)

Where: Zoom  (Please write at sfandnt@gmail.com for a link)

 

Live Link: https://youtu.be/J-cTGSgouBM

Tea or Coffee: Please bring your own.

Abstract: 

 Nikolai Sergeevich Koshliakov was an outstanding Russian mathematician who made phenomenal contributions to number theory and differential equations. In the aftermath of World War II, he was one among the many scientists who were arrested on fabricated charges and incarcerated. Under extreme hardships while still in prison, Koshliakov (under a different name `N. S. Sergeev') wrote two manuscripts out of which one was lost. Fortunately the second one was published in 1949 although, to the best of our knowledge, no one studied it until the last year when Prof. Atul Dixit and I started examining it in detail. This manuscript contains a complete theory of two interesting generalizations of the Riemann zeta function having their genesis in heat conduction and is truly a masterpiece! In this talk, we will discuss some of the contents of this manuscript and then proceed to give some new results (modular relations) that we have obtained in this theory. This is joint work with Prof. Atul Dixit.