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Zeros of Fekete polynomials

J. Brian Conrey·Andrew Granville·Bjorn Poonen·K. Soundararajan
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Abstract

The authors study the distribution of zeros of the Fekete polynomial f_p(t) (defined for p prime) as p -> infinity. They show that asymptotically a constant fraction of the zeros lie on the unit circle, and they investigate the constant of proportionality.

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J. Brian Conrey, Andrew Granville, Bjorn Poonen, K. Soundararajan. 1999-06-16. Zeros of Fekete polynomials. https://arxiv.org/abs/math/9906214

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