Abstract
We obtain upper and lower bounds for fractional moments of Dirichlet L-functions.
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References
R. M. Gabriel, Some results concerning the integrals of moduli of regular functions along certain curves, J. London Math. Soc., 2, 112–117 (1927).
D. R. Heath-Brown, Fractional moments of the Riemann zeta-function, J. London Math. Soc., 2(24), 65–78 (1981).
A. Kačėnas, A. Laurinčikas, and S. Zamarys, On fractional moments of Dirichlet L-functions, Lith. Math. J., 45(2), 173–191 (2005).
M. Katsurada and K. Matsumoto, A weighted integral approach to the mean square of Dirichlet L-functions, in: K. Győrg and S. Kanemitsu (Eds.), Number Th. Appl., Kluwer (1999), pp. 199–229.
J. Kubilius, On Dirichlet series in the theory of the distribution of additive arithmetical functions. I, Liet. Matem. Rink., 11(1), 125–134 (1971).
K. Matsumoto, The mean square of Dirichlet L-functions, Proc. Japan Acad., 66A, 204–208 (1990).
Y. Motohashi, A note on the mean value of the zeta and L-functions, I, Proc. Japan Acad., 61A, 222–224 (1985).
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Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 4, pp. 606–621, October–December, 2006.
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Zamarys, S. On fractional moments of Dirichlet L-functions, II. Lith Math J 46, 494–508 (2006). https://doi.org/10.1007/s10986-006-0045-8
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DOI: https://doi.org/10.1007/s10986-006-0045-8