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

• Autorzy: Isao Kiuchi , Kohji Matsumoto
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1992
• Tom: 61
• Numer: 4
• Strony: 337-345

Daty

wydano

1992

otrzymano

1991-05-27

poprawiono

1991-07-29

Twórcy

autor

Isao Kiuchi

• 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

autor

Kohji Matsumoto

• Department of Mathematics, Faculty of Education, Iwate University, Ueda, Morioka 020, Japan

Bibliografia

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