The mean square of the Riemann zeta-function in the critical strip II

• Autorzy: Kohji Matsumoto , Tom Meurman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 68
• Numer: 4
• Strony: 369-382

Daty

wydano

1994

otrzymano

1994-03-21

Twórcy

autor

Kohji Matsumoto

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

autor

Tom Meurman

• Department of Mathematics, University of Turku, SF-20500 Turku, Finland

Bibliografia

• [1] D. R. Heath-Brown, The mean value theorem for the Riemann zeta-function, Mathematika 25 (1978), 177-184.
• [2] A. Ivić, The Riemann Zeta-Function, Wiley, New York, 1985.
• [3] A. Ivić, Lectures on Mean Values of the Riemann Zeta-Function, Lectures on Math. and Physics 82, Tata Inst. Fund. Res., Springer, Bombay, 1991.
• [4] I. Kiuchi, On an exponential sum involving the arithmetic function $σ_a(n)$, Math. J. Okayama Univ. 29 (1987), 193-205.
• [5] K. Matsumoto, The mean square of the Riemann zeta-function in the critical strip, Japan. J. Math. 15 (1989), 1-13.
• [6] T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford (2) 38 (1987), 337-343.
• [7] H. Montgomery and R. C. Vaughan, Hilbert's inequality, J. London Math. Soc. (2) 8 (1974), 73-82.
• [8] Y. Motohashi, A note on the mean value of the zeta and L-functions IV, Proc. Japan Acad. Ser. A 62 (1986), 311-313.
• [9] Y. Motohashi, Lectures on the Riemann-Siegel formula, Ulam Seminar, Department of Math., University of Colorado, Boulder, 1987.
• [10] E. Preissmann, Sur la moyenne de la fonction zêta, in: Analytic Number Theory and Related Topics, K. Nagasaka (ed.), World Scientific, 1993, 119-125.
• [11] E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, Oxford Univ. Press, London, 1937.
• [12] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford Univ. Press, London, 1951