The mean square of the error term in a generalization of Dirichlet's divisor problem
Tom Meurman
Acta Arithmetica, Tome 76 (1996), p. 351-364 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:206858
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     author = {Tom Meurman},
     title = {The mean square of the error term in a generalization of Dirichlet's divisor problem},
     journal = {Acta Arithmetica},
     volume = {76},
     year = {1996},
     pages = {351-364},
     zbl = {0848.11043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav74i4p351bwm}
}
Tom Meurman. The mean square of the error term in a generalization of Dirichlet's divisor problem. Acta Arithmetica, Tome 76 (1996) pp. 351-364. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav74i4p351bwm/

[000] [1] J. L. Hafner, On the representation of the summatory functions of a class of arithmetical functions, in: Analytic Number Theory, M. I. Knopp (ed.), Lecture Notes in Math. 899, Springer, 1981, 148-165.

[001] [2] A. Ivić, The Riemann Zeta-Function, Wiley, New York, 1985. | Zbl 0556.10026

[002] [3] I. Kiuchi, On an exponential sum involving the arithmetic function σa(n), Math. J. Okayama Univ. 29 (1987), 193-205. | Zbl 0643.10032

[003] [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. | Zbl 0812.11049

[004] [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. | Zbl 0788.11035

[005] [6] T. Meurman, On the mean square of the Riemann zeta-function, Quart. J. Math. Oxford (2) 38 (1986), 337-343. | Zbl 0624.10032

[006] [7] A. Oppenheim, Some identities in the theory of numbers, Proc. London Math. Soc. (2) 26 (1927), 295-350. | Zbl 53.0150.02

[007] [8] Y.-F. S. Pétermann, Divisor problems and exponent pairs, Arch. Math. (Basel) 50 (1988), 243-250. | Zbl 0619.10034

[008] [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. | Zbl 0654.10042

[009] [10] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford University Press, Oxford, 1951. | Zbl 0042.07901

[010] [11] K.-C. Tong, On divisor problems III, Acta Math. Sinica 6 (1956), 515-541. | Zbl 0075.25003

[011] [12] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge University Press, Cambridge, 1944 | Zbl 0063.08184