## Zeros of sections of the binomial expansion

Svante Janson and Timothy S. Norfolk

### Abstract

We examine the asymptotic behavior of the zeros of sections of the binomial expansion, that is, we consider the distribution of zeros of $B_{r,n}(z) = \sum_{k=0}^r {n \choose k} z^k$, where $1 \le r \le n$.

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### Key words

Binomial expansion, partial sums, zeros.

30C15.

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