Asymptotics for fractional moments of automorphic L-functions are found. Bibliography: 11 titles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. R. Heath-Brown, “Fractional moments of the Riemann zeta function,” J. London Math. Soc. (2) 24, 65–78 (1981).
E. C. Titchmarsh, The Theory of the Riemann Zeta Function 2nd ed., revised by D. R. Heath-Brown, New York (1986).
R. T. Turganaliev, “The asymptotic formula for the fractional mean value moments of the Riemann zeta function,” Trudy Math. Inst. Akad. Nauk. SSSR, 158, 203–226 (1981).
I. Sh. Jabbarov, “Fractional moments for the ζ-function,” Mat. Zametki, 38, 481–493 (1985).
A. Good, “Approximative Funktionalgleichungen und Mittelwertsätze für Dirichletreinhen, die Spitzenformen assoziiert sind,” Comment.Math. Helw., 50, 327–361 (1975).
E. C. Titchmarsh, The Theory of Functions [Russian translation], Moscow–Leningrad (1951).
E. C. Titchmarsh, The Zeta-Function of Riemann [Russian translation], Moscow (1947).
H. L. Montgomery, Multiplicative Number Theory [Russian translation], Moscow (1974).
H. L. Montgomery and R. C Vaughan, “Hilbert inequality,” J. London Math. Soc. (2), 8, 73–82 (1974).
G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities [Russian translation], Moscow (1948).
O. M. Fomenko, “Fractional moments of automarphic L-funtions,” Algebra Analiz, 22, 204–224 (2010).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 383, 2011, pp. 179–192.
Rights and permissions
About this article
Cite this article
Fomenko, O.M. Fractional moments of automorhic L-FUNCTIONS. II. J Math Sci 178, 219–226 (2011). https://doi.org/10.1007/s10958-011-0541-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-011-0541-1