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On the distribution of the number of real zeros of a random polynomial

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In this note, we find the distibution of the number of real zeros of a random polynomial. We also derive a formula for the expected number of complex zeros lying in a given domain of the complex plane. Bibliography: 7 titles.

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References

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 320, 2004, pp. 69–79.

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Zaporozhets, D.N. On the distribution of the number of real zeros of a random polynomial. J Math Sci 137, 4525–4530 (2006). https://doi.org/10.1007/s10958-006-0245-0

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  • DOI: https://doi.org/10.1007/s10958-006-0245-0

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