Dear all,
This week's talk is by Ritwik Pal of the Indian Institute of Information Technology (IIIT), Delhi. The announcement is below.
Talk Announcement:
Title: On shifted convolution sum of Fourier coefficients of $SL(3,\mathbb{Z})$ Hecke–Maass forms.
Title: On shifted convolution sum of Fourier coefficients of $SL(3,\mathbb{Z})$ Hecke–Maass forms.
Speaker: Ritwik Pal (IIIT, Delhi)
When: Sept 25, 2025, 4:00-5:00 PM IST
Where: Zoom: Write to the organisers for a link
Abstract:
We will present a brief overview of the shifted convolution sum problems, especially those related to the coefficients of automorphic L-functions. Then we will present our recent article on establishing a non-trivial upper bound for the Fourier coefficients of $SL(3,\mathbb{Z})$ Hecke–Maass forms. As a consequence, it gives a significant improvement over the previously known range of shifts for which a non-trivial upper bound of shifted convolution sum holds. This is a joint work with Sampurna Pal.
Gaurav Bhatnagar, Atul Dixit, and Krishnan Rajkumar,
Special Functions and Number Theory Seminar
