Geodesic
The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities
Matematičeskie zametki, Tome 90 (2011) no. 2, pp. 199-215.

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For $\rho\in(0;1)$, we obtain the supremum of lower $\rho$-types of entire functions whose sequence of roots has given lower and upper densities for the order $\rho$.
Keywords: entire function, greatest lower type of an entire function, zero distribution density, arithmetic progression. 
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G. G. Braichev; O. V. Sherstjukova. The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities. Matematičeskie zametki, Tome 90 (2011) no. 2, pp. 199-215. http://geodesic.mathdoc.fr/item/MZM_2011_90_2_a3/

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