March 6, 2025

About the speaker

Kamryn Spinelli is a PhD candidate at Brandeis University working under the supervision of Bong Lian and An Huang. He is interested in algebraic geometry and representation theory with connections to physics and number theory.

Approximation of L-functions associated to Hecke cusp eigenforms

In 2017, Matiyasevich described a strikingly effective method of approximating the Riemann zeta function using only a finite subset of its Euler factors. In the years since, several qualitative and quantitative properties of the approximation have been proven, and the technique has been adapted to Dirichlet L- functions, generating functions of divisor sums, and L-functions of elliptic curves. In this talk, we will summarize the history and ideas of the technique, outline new work extending it to the setting of L- functions of Hecke cusp eigenforms, and explain some observations which clarify some aspects of the construction. This is joint work with An Huang.