G-BRL Number Theory Seminar at CNU

Abstract:  Let N  be a positive integer. We investigate the vector-valued period polynomials of certain cusp forms on  Γ₀(N)  constructed from sums over binary quadratic forms. We establish a formula for these period polynomials, expressing their identity component in terms of finite sums involving quadratic forms and zeta values. As an application, we derive a finite sum formula for special values of Dedekind zeta functions of real quadratic fields at positive even integers. This is joint work with Subong Lim and Wissam Raji.

Abstract:  TBA