The Laguerre-Pólya Class and Combinatorics

Abstract

The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and hyperbolic polynomials, the Laguerre-Pólya class of entire functions, Pólya frequency sequences, total positivity for sequences and functions, and zeros of generating functions arising in probability and combinatorics.