Arindam Roy (UNC, Charlotte) - Thursday, June 2, 2022 - 3:55 PM

 Our next speaker is Arindam Roy of the University of North Carolina at Charlotte. The talk announcement is below.

Talk Announcement:

Title: On the Hyperbolicity of Jensen Polynomials for Power Partitions.

Speaker: Arindam Roy (UNC, Charlotte)

 

When: Thursday, June 2, 2022 - 4:00 PM - 5:00 PM (IST) 

Where: Zoom. 

Live Link: https://youtu.be/Hcwup8oM_aw

Tea or Coffee: Please bring your own.

Abstract:  

Polya established that the Riemann Hypothesis is equivalent to the hyperbolicity of Jensen polynomials for the Riemann zeta function. This led to the study of Jensen polynomials for large classes of functions. Recently, Jensen polynomials for various partition functions and more generally, the Jensen polynomials for weakly holomorphic forms are considered. Their hyperbolicity was established under various conditions. In this talk we will consider the Jensen polynomials for power partitions and discuss the hyperbolicity of these Jensen polynomials

Amita Malik (Max Plank Institute, Bonn) - Thursday, May 19, 2022 - 4:00 PM - 5:00 PM (IST)

 Our next speaker is Amita Malik of the Max Plank Institute. The talk announcement is below.

Talk Announcement:

Title: Partitions into primes in arithmetic progressions

Speaker: Amita Malik (Max Plank Institute, Bonn)

 

When: Thursday, May 19, 2022 - 4:00 PM - 5:00 PM (IST) 

Where: Zoom. Please write to the organizers for the link

Tea or Coffee: Please bring your own.

Abstract:  

 In this talk, we discuss the asymptotic behavior of the number of partitions into primes in arithmetic progressions. While the study for ordinary partitions goes back to Hardy and Ramanujan, partitions into primes were recently re-visited by Vaughan. Our error term is sharp and improves on previous known estimates in the special case of primes as parts of the partition. As an application, monotonicity of this partition function is established explicitly via an asymptotic formula.