An asymptotic formula for the mean values of the fractional power of the Riemann zeta function
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic number theory, mathematical analysis and their applications, Tome 158 (1981), pp. 203-226.

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@article{TM_1981_158_a17,
     author = {R. T. Turganaliev},
     title = {An asymptotic formula for the mean values of the fractional power of the {Riemann} zeta function},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {203--226},
     publisher = {mathdoc},
     volume = {158},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1981_158_a17/}
}
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R. T. Turganaliev. An asymptotic formula for the mean values of the fractional power of the Riemann zeta function. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic number theory, mathematical analysis and their applications, Tome 158 (1981), pp. 203-226. http://geodesic.mathdoc.fr/item/TM_1981_158_a17/