Mean square of the remainder term in the Dirichlet divisor problem II

• Autorzy: Kai-Man Tsang
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 71
• Numer: 3
• Strony: 279-299

Daty

wydano

1995

otrzymano

1994-09-30

Twórcy

autor

Kai-Man Tsang

• Department of Mathematics, University of Hong Kong, Pokfulam Road, Hong Kong

Bibliografia

• [1] J. L. Hafner, New omega theorems for two classical lattice point problems, Invent. Math. 63 (1981), 181-186.
• [2] D. R. Heath-Brown, The fourth power moment of the Riemann Zeta-function, Proc. London Math. Soc. (3) 38 (1979), 385-422.
• [3] A. Ivić, The Riemann Zeta-Function, Wiley-Interscience, New York, 1985.
• [4] A. Ivić, Lectures on Mean Values of the Riemann Zeta-Function, Lectures on Math. and Physics 82, Tata Inst. Fund. Res., Springer, Bombay, 1991.
• [5] A. Ivić and M. Ouellet, Some new estimates in the Dirichlet divisor problem, Acta Arith. 52 (1989), 241-253.
• [6] Y. K. Lau and K. M. Tsang, Mean square of the remainder term in the Dirichlet divisor problem, J. Théorie de Nombres de Bordeaux, to appear.
• [7] Y. Motohashi, The binary additive divisor problem, Ann. Sci. École Norm. Sup. 27 (1994), 529-572.
• [8] E. Preissmann, Sur la moyenne quadratique du terme de reste du problème du cercle, C. R. Acad. Sci. Paris Sér. I 306 (1988), 151-154.
• [9] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed. revised by D. R. Heath-Brown, Oxford Univ. Press, Oxford, 1986.
• [10] K. C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541.
• [11] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, 1962