Mean value results for the approximate functional equation of the square of the Riemann zeta-function

ArticleOriginal scientific text

Title

Authors ^1,², ³

Kugenuma-Ishigami, 1-13-13-905, Fujisawa, Kanagawa 251, Japan
Department of Mathematics, Keio University, 14-1, Hiyoshi, 3 Chome, Kohoku-ku, Yokohama 223, Japan
Department of Mathematics, Faculty of Education, Iwate University, Ueda, Morioka 020, Japan

A. Ivić, The Riemann Zeta-function, Wiley, 1985.
M. Jutila, On the approximate functional equation for ζ²(s) and other Dirichlet series, Quart. J. Math. Oxford Ser. (2) 37 (1986), 193-209.
T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford Ser. (2) 38 (1987), 337-343.
Y. Motohashi, A note on the approximate functional equation for ζ²(s), Proc. Japan Acad. Ser. A 59 (1983), 393-396.
Y. Motohashi, A note on the approximate functional equation for ζ²(s) II, Proc. Japan Acad. Ser. A 59 (1983), 469-472.
Y. Motohashi, Lectures on the Riemann-Siegel Formula, Ulam Seminar, Depart. of Math., Colorado University, Boulder 1987.
E. Preissmann, Sur la moyenne quadratique du terme de reste du problème du cercle, C. R. Acad. Sci. Paris 306 (1988), 151-154.
K.-C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541(Chinese, English summary).