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Zeros of truncated binomial polynomials

Janson, S (Uppsala)
Thursday 24 January 2008, 11:30-12:00

Seminar Room 1, Newton Institute


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.




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