Geodesic
Coarse equidistribution of the argument of entire functions of finite order
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 4, pp. 492-506 Cet article a éte moissonné depuis la source Math-Net.Ru

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Given a sector $S\subset\mathbb C$ and an entire function $f$ of order $\rho$, we estimate from below the relative area of the preimage $f^{-1}S$. We show that there exist arbitrarily large $r$ such that for any sector $S$ of opening $\alpha$, the relative area of the set $\{f^{-1}S\}\cap r\mathbb D$ is bounded from below by $\alpha\cdot\kappa(\rho)$, where $\kappa(\rho)>0$ depends only on $\rho$, and $\kappa(\rho)\sim\mathrm{const}\,\rho^{-1}$ for $\rho\to\infty$. 
@article{JMAG_2004_11_4_a8,
     author = {F\"edor Nazarov and Mikhail Sodin},
     title = {Coarse equidistribution of the argument of entire functions of finite order},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {492--506},
     year = {2004},
     volume = {11},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_4_a8/}
}
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Fëdor Nazarov; Mikhail Sodin. Coarse equidistribution of the argument of entire functions of finite order. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 4, pp. 492-506. http://geodesic.mathdoc.fr/item/JMAG_2004_11_4_a8/