The mean square of the error term in a generalization of Dirichlet's divisor problem

• Autorzy: Tom Meurman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 74
• Numer: 4
• Strony: 351-364

Daty

wydano

1996

otrzymano

1995-04-12

poprawiono

1995-08-16

Twórcy

autor

Tom Meurman

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

Bibliografia

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• [2] A. Ivić, The Riemann Zeta-Function, Wiley, New York, 1985.
• [3] I. Kiuchi, On an exponential sum involving the arithmetic function $σ_a(n)$, Math. J. Okayama Univ. 29 (1987), 193-205.
• [4] K. Matsumoto and T. Meurman, The mean square of the Riemann zeta-function in the critical strip II, Acta Arith. 68 (1994), 369-382.
• [5] K. Matsumoto and T. Meurman, The mean square of the Riemann zeta-function in the critical strip III, Acta Arith. 64 (1993), 357-382.
• [6] T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford (2) 38 (1986), 337-343.
• [7] A. Oppenheim, Some identities in the theory of numbers, Proc. London Math. Soc. (2) 26 (1927), 295-350.
• [8] Y.-F. S. Pétermann, Divisor problems and exponent pairs, Arch. Math. (Basel) 50 (1988), 243-250.
• [9] 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.
• [10] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford University Press, Oxford, 1951.
• [11] K.-C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541.
• [12] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, Cambridge, 1944