Literature cited
J. F. Ritt, “On certain points in the theory of Dirichlet series,” Am. J. Math.,50, 73–83 (1928).
K. Sugimura, “Ubertragung einiger Satze aus der Theorie der ganzen Funktionen auf Dirichletsche Reihen,” Math. Zeitschr.,29, 264–277 (1929).
Yu. Chia-Yung, “Sur les droites de Borel de certaines functions entieres,” Ann. École Norm.,68, 65–104 (1951).
A. G. Azpeitia, “A remark on the Ritt order of entire functions defined by Dirichlet series,” Proc. Am. Math. Soc.,12, 722–723 (1961).
F. I. Geche, “A remark concerning formulas for the linear order of entire functions with Dirichletseries representations,” UMZh, No. 5 (1964).
Q. I. Rahman, “On the lower order of entire functions defined by Dirichlet series,” Quart. J. Math., Oxford, Ser.,7, 96–99 (1956).
A. R. Reddy, “On entire Dirichlet series of infinite order. I,” Rev. Math. Hisp.-Amer.,27, 120–131 (1967).
A. R. Reddy, “On entire Dirichlet series of infinite order. II,” Rev. Math. Hisp.-Amer.,29, 215–231 (1969).
S. Mandelbrojt, Dirichlet Series, Rice Inst. Pamphlet,31, No. 4 (1944).
C. T. Rajagopal and A. R. Reddy, “A note on entire functions represented by Dirichlet series,” Ann. Polon. Math.,17, 199–208 (1965).
B. Ya. Levin, The Distribution of Zeros of Entire Functions [in Russian], Gostekhizdat, Moscow (1957).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 147–157, February, 1975.
The authors wish to thank A. A. Gol'dberg for his valuable comments on this work.
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Vinnitskii, B.V., Sheremeta, M.N. Asymptotic properties of the coefficients of Dirichlet series representing entire functions. Ukr Math J 27, 117–124 (1975). https://doi.org/10.1007/BF01089992
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DOI: https://doi.org/10.1007/BF01089992