Koustav Banerjee (RISC, JKU, Linz) - Thursday Nov 25, 2021 - 3:55 PM (IST)

The final talk of the year will be by Koustav Banerjee of RISC. After this we will take a break and return next year. 

Talk Announcement:

Title: Inequalities for the modified Bessel function of first kind and its consequences.

Speaker: Koustav Banerjee (RISC, Johann Kepler University, Linz, Austria)

 

When: Thursday, Nov 25, 2021 - 4:00 PM - 5:00 PM (IST) 

Where: Zoom:

 

Live Link: https://youtu.be/kmpLf-lzSsk

Tea or Coffee: Please bring your own.

Abstract:  

Study on asymptotics of modified Bessel functions dates back to 18th century.
In this talk, we will describe how from the study of asymptotics of modified Bessel function of first kind of non-negative order, one can comes up with a host of inequalities that finally leads to answer combinatorial properties, for example log-concavity, higher order Turán inequality of certain arithmetic sequences arising from Fourier coefficients of modular forms. In addition to that, we will discuss briefly on a result of Bringmann et al. and analyze with the work addressed above.