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Literature Cited
T. M. Apostol, Modular Functions and Dirichlet Series in Number Theory, GTM n041, Berlin-Heidelberg-New York, Springer-Verlag (1976).
K. Chandrasekharan and R. Narasimhan, “The approximate functional equation for a class of zeta-functions,” Math. Ann.,152, 30–64 (1963).
H. Davenport, Multiplicative Number theory, GMT n074, Berlin-Heidelberg-New York, Springer-Verlag (1980).
A. Good, “Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind,” J. Number Theory,13, 18–65 (1981).
A. Good, “The square mean of Dirichlet series associated with cusp forms,” Mathematika,29, 278–295 (1983).
D. R. Heath-Brown “Fractional moments of the Riemann zeta-function,” J. London Math. Soc.,24 (2), 65–78 (1981).
A. Ivić, The Riemann Zeta-Function, New York, John Wiley and Sons (1985).
M. Jutila, “On the value distribution of the zeta-function on the critical line,” Bull. London Math. Soc.,15, 513–518 (1983).
E. Landau, Einführung in die Elementare und Analytische Theorie der Algebraischen Zahlen und Ideale, New York, Chelsea (1949).
A. Laurinčikas, “On moments of the Riemann zeta-function on the critical line,” Mat. Zametki (Russian),39, 483–493 (1986).
A. Laurinčikas, “A limit theorem for the Riemann zeta-function on the critical line,” Lithuanian Mathematical Journal (Russian), I)27, 113–132; II)27, 489–500.
A. Laurinčikas, “A limit theorem for Dirichlet L-functions on the critical line,” Lithuanian Mathematical Journal (Russian),27, 699–710 (1987).
E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford, Clarendon Press (1951).
R. T. Turganaliev, “The asymptotic formula for fractional mean value moments of the zetafunction of Riemann,” Trudy Mat. Inst. Steklova Akad. Nauk SSSR (Russian),158, 203–226 (1981).
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Department of Mathematics, University of Belgrade (Yugoslavia). Department of Mathematics, University of Naples (Italy). Published in Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 4, pp. 701–714, October–December, 1989.
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Ivic, A., Perelli, A. Mean values of certain zeta-functions on the critical line. Lith Math J 29, 351–360 (1989). https://doi.org/10.1007/BF00971950
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DOI: https://doi.org/10.1007/BF00971950