Volume 36, pp. 27-38, 2009-2010.

Zeros of sections of the binomial expansion

Svante Janson and Timothy S. Norfolk


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.

AMS subject classifications


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