Geodesic
Development of the Valiron--Levin theorem on the least possible type of entire functions with a~given upper $\rho$-density of roots
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 49 (2013), pp. 132-164

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An entire function such that its roots have a given $\rho$-density and are located in an angle or on a ray is considered. For such a function, we solve the problem on the least possible type at order $\rho$. The case without assumptions about the location of the roots was considered by Valiron; the corresponding problem was completely solved by Levin. 
@article{CMFD_2013_49_a3,
     author = {A. Yu. Popov},
     title = {Development of the {Valiron--Levin} theorem on the least possible type of entire functions with a~given upper $\rho$-density of roots},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {132--164},
     publisher = {mathdoc},
     volume = {49},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2013_49_a3/}
}
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A. Yu. Popov. Development of the Valiron--Levin theorem on the least possible type of entire functions with a~given upper $\rho$-density of roots. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 49 (2013), pp. 132-164. http://geodesic.mathdoc.fr/item/CMFD_2013_49_a3/