Lower estimate in Littlewood’s conjecture on the mean spherical derivative of a polynomial and iteration theory

Erëmenko, A. È.

doi:10.1090/S0002-9939-1991-1065943-1

Lower estimate in Littlewood’s conjecture on the mean spherical derivative of a polynomial and iteration theory
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by A. È. Erëmenko PDF

Proc. Amer. Math. Soc. 112 (1991), 713-715 Request permission

Abstract:

Lewis and Wu have proved J. E. Littlewood’s conjecture of the growth of the spherical derivative of polynomials. We apply the theory of complex iteration to show that this conjecture is sharp in a qualitative sense.

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