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References
J. E. Littlewood,J. London Math. Soc,41, 367–376 (1966).
B. S. Kashin,Vestnik Moskov. Univ. Ser. I Mat. Mekh. [Moscow Univ. Math. Bull.], No. 5, 40–46 (1987).
S. V. Konyagin,Mat. Zametki [Math. Notes],56, No. 3, 80–101 (1994).
A. G. Karapetyan, “On the minimum modulus of trigonometric polynomials with random coefficients,”Dep. VINITI, No. 3330-B96, Moscow (1996).
S. V. Konyagin and W. Schlag, “Lower bounds for the absolute value of random polynomials on a neighborhood,”Trans. Amer. Math. Soc. (to appear).
J.-P. Kahane,Some Random Series of Functions, Heath, Lexington, Mass. (1968).
B. S. Kashin and A. A. Saakyan,Orthogonal series [in Russian], Nauka, Moscow (1984).
R. N. Bkhattachariya and R. Ranga Rao,Normal Approximation and Asymptotic Expansions, Wiley, New York-London (1976).
A. G. Karapetyan,Mat. Zametki [Math. Notes],61, No. 3, 451–455 (1997).
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Translated fromMatematicheskie Zametki, Vol. 63, No. 1, pp. 142–145, January, 1998.
The author wishes to thank his adviser S. V. Konyagin for useful discussion and important advice.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-00378.
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Karapetyan, A.G. The values of stochastic polynomials in a neighborhood of the unit circle. Math Notes 63, 127–130 (1996). https://doi.org/10.1007/BF02316154
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DOI: https://doi.org/10.1007/BF02316154