CSM

Abstract

We study the set of zeros of the truncated binomial polynomials \sum_{k=0}^r \binom{n}{k} z^k and \sum_{k=r+1}^n \binom{n}{k} z^k as n and r tend to infinity with r/n converging to some number a, and show convergence of the zero sets to parts of a certain curve in the complex plane.

This is joint work with Alex Scott and Alan Sokal.