Seminar series
Date
Thu, 07 Nov 2024
16:00
16:00
Location
L3
Speaker
Peter Jossen
Organisation
King's College London
E-functions are a special class of entire function given by power series with algebraic coefficients, particular examples of which are the exponential function or Bessel functions. They were introduced by Siegel in the 1930's.
While special values of E-functions are relatively well understood, their roots remain mysterious in many ways. I will explain how roots of E-functions are distributed in the complex plane (essentially a Theorem of Pólya), and discuss a couple of related questions and conjectures. From the roots of an E-function one may also fabricate a "spectral" zeta function, which turns out to have some interesting properties.