Geodesic
On distribution of the number of real zeros of a~random polynomial
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 69-79

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In this note we find the distibution of the number of real zeros of a random polynomial. Also we derive the formula for the expected number of complex zeros lying in the specified domain of the complex plain. 
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     author = {D. N. Zaporozhets},
     title = {On distribution of the number of real zeros of a~random polynomial},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--79},
     publisher = {mathdoc},
     volume = {320},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a4/}
}
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D. N. Zaporozhets. On distribution of the number of real zeros of a~random polynomial. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 69-79. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a4/