Date: 01/07/2024 (Monday)
Time: 10am
Venue: Conference room, math office
Speaker: Dr. Anubhav Sharma
Title: Distributions of Fourier coefficients of certain Dirichlet series
under various circumstances
Abstract: In this talk, we will explore the behavior of Fourier
coefficients of certain Dirichlet series over special subsequences of
natural numbers. More precisely, we will establish asymptotic formulas for
the higher power moments related to the general divisor problem, focusing
on the coefficients of certain Rankin-Selberg $L$-functions. As a
consequence, we see a quantitative result on the number of sign changes of
these Fourier coefficients within small intervals over the same sequence.