Literature Cited
E. C. Titchmarsh, The Zeta-Function of Riemann, Hafner (1964).
R. Spira, “Zero-free regions of ζ(k)(s),” J. London Math. Soc.,40, 677–682 (1965).
R. Spira, “Another zero-free region for ζ(k)(s),” Proc. Am. Math. Soc.,26, 246–247 (1970).
B. Berndt, “The number of zeros for ζ(k)(s),” J. London Math. Soc. (2),2, 577–580 (1970).
R. Spira, “Zeros of ζ′(s) and the Riemann hypothesis,” Ill. J. Math.,17, 147–152 (1973).
R. Spira, “On the Riemann zeta function,” J. London Math. Soc.,44, 325–328 (1969).
S. M. Voronin, “Analytic properties of generating functions of Dirichlet arithmetic objects,” Doctoral Dissertation, Moscow (1977).
S. M. Voronin, “Zeros of zeta-functions of quadratic forms,” Tr. Mat. Inst. Akad. Nauk SSSR,142, 135–147 (1976).
A. Laurinchikas, “Zeros of certain Dirichlet series,” Liet. Mat. Rinkinys,24, No. 4, 116–126 (1984).
S. M. Voronin, “Theorem on the ‘universality’ of the Riemann zeta-function,” Izv. Akad. Nauk SSSR, Ser. Mat.,39, No. 3, 475–486 (1975).
B. Bagchi, “The statistical behavior and universality properties of the Riemann zeta function and allied Dirichlet series” Thesis, Indian Statistical, Institute, Calcutta (1981).
B. Bagchi, “Joint universality theorem for Dirichlet L-functions,” Math. Zeitschrift,181, 319–334 (1982).
S. N. Mergelyan, “Uniform approximations of functions of a complex variable,” Usp. Mat. Nauk,7, No. 2, 31–122 (1952).
Additional information
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 25, No. 3, pp. 111–118, July–September, 1985.
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Laurinĉikas, A. Zeros of the derivative of the Riemann zeta-function. Lith Math J 25, 255–260 (1985). https://doi.org/10.1007/BF00966744
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DOI: https://doi.org/10.1007/BF00966744