Speaker: Bibekananda Maji (IIT Indore, India)

Title: Number field analogue of Jacobi theta relation and zeros of Dedekind zeta function on Re(s)=1/2

Abstract:  In 1914, Hardy proved the existence of infinitely many non-trivial zeros of the Riemann zeta function on the critical line Re(s)=1/2 using the Jacobi theta relation. In this talk, we shall first discuss a number field analogue of the Jacobi theta relation and, as an application, show the existence of infinitely many non-trivial zeros of the Dedekind zeta function on Re(s)=1/2. This is joint work with Diksha Rani Bansal.