Some problems on mean values of the riemann zeta-function

Journal de Theorie des Nombres de Bordeaux

Volumn 8, Issue 1, 1996, Pages 101-123

  Ivić, Aleksandar ^a  

^a Universiteta u Beogradu ^*  (Serbia)

Author keywords

Asymptotic formulas; Mean values; Riemann zeta function

Indexed keywords

EID: 85009895062     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.159     Document Type: Article

References (16)

1. R. Balasubramanian, On the frequency of Titchmarsh’s phenomenon for 03B6(s) IV, Hardy-Ramanujan J.9 (1986), 1-10.
2. R. Balasubramanian, A. Ivić and K. Ramachandra, The mean square of the Riemann zeta-function on the line 03C3 = 1, L’Enseignement Mathématique 38 (1992), 13-25.
3. J.-M. Deshouillers and H. Iwaniec, Power mean values of the Riemann zeta-function, Mathematika 29 (1982), 202-212.
4. A. Ivić, The Riemann zeta-function, John Wiley & Sons, New York, (1985).
5. A. Ivić, The mean values of the Riemann zeta-function, Tata Institute for Fundamental Research LN’s 82, Bombay 1991 (distr. by Springer Verlag, Berlin etc., 1992).
6. A. Ivić, The moments of the zeta-function on the line 03C3 =1, Nagoya Math. J. 135 (1994), 113-129.
7. A. Ivić and A. Perelli, Mean values of certain zeta-functions on the critical line, Litovskij Mat. Sbornik 29 (1989), 701-714.
8. A. Ivić and Y. Motohashi, The mean square of the error term for the fourth moment of the zeta-function, Proc. London Math. Soc. (3) 69 (1994), 309-329.
9. D. Joyner, Distribution theorems for L-functions, Longman Scientific & Technical, Essex (1986).
10. A. Laurinčinkas, The limit theorem for the Riemann zeta-function on the critical line I, (Russian), Litovskij Mat. Sbornik 27 (1987), 113-132 and II. 27 (1987), 459-500.
11. K. Matsumoto, The mean square of the Riemann zeta-function in the critical strip, Japan. J. Math. 13 (1989), 1-13.
12. K. Matsumoto and T. Meurman, The mean square of the Riemann zeta-function in the critical strip II, Acta Arith. 68 (1994), 369-382; III, Acta Arith. 64 (1993), 357-382.
13. K. Ramachandra, Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series IV, J. Indian Math. Soc. 60 (1994), 107-122.
14. K. Ramachandra, Lectures on the mean-value and omega-theorems for the Riemann zeta-function, LNs 85, Tata Institute of Fundamental Research, Bombay 1995 (distr. by Springer Verlag, Berlin etc.).
15. P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 31 (1980), 161-170.
16. E.C. Titchmarsh, The theory of the Riemann zeta-function (2nd ed.), Oxford, Clarendon Press, (1986).