Fractional moments of the Riemann zeta-function

• Autorzy: K. Ramachandra
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996-1997
• Tom: 78
• Numer: 3
• Strony: 255-265

Daty

wydano

1997

otrzymano

1996-03-21

poprawiono

1996-06-28

Twórcy

autor

K. Ramachandra

• School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai (Bombay) 400 005, India
• N.I.A.S., I.I.Sc. (Campus), Bangalore 560012, India

Bibliografia

• [1] D. R. Heath-Brown, Fractional moments of the Riemann zeta-function, J. London Math. Soc. (2) 24 (1981), 65-78.
• [2] A. Ivić, Lectures on Mean Values of the Riemann Zeta-Function, Tata Inst. Fund. Res. Lectures on Math. and Phys. 82, Springer, 1991.
• [3] A. Ivić and A. Perelli, Mean values of certain zeta-functions on the critical line, Liet. Mat. Rink. 29 (1989), 701-714.
• [4] M. Jutila, On the value distribution of the zeta-function on the critical line, Bull. London Math. Soc. 15 (1983), 513-518.
• [5] H. L. Montgomery and R. C. Vaughan, Hilbert's inequality, J. London Math. Soc. (2) 8 (1974), 73-82.
• [6] K. Ramachandra, On the Mean-Value and Omega-Theorems for the Riemann Zeta-Function, Tata Inst. Fund. Res. Lectures on Math. and Phys. 85, Springer, 1995.
• [7] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., revised and edited by D. R. Heath-Brown, Clarendon Press, Oxford, 1986.