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arxiv: math/9906214 · v1 · pith:2XNELVMXnew · submitted 1999-06-16 · 🧮 math.NT

Zeros of Fekete polynomials

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keywords zerosconstantfeketetheyasymptoticallyauthorscircledefined
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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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