The Number of Abelian Groups of Order at Most x
Journées arithmétiques de Luminy 17-21 Juillet 1989, Astérisque, no. 198-199-200 (1991), pp. 153-163.
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     author = {Heath-Brown, D. R.},
     title = {The {Number} of {Abelian} {Groups} of {Order} at {Most} $x$},
     booktitle = {Journ\'ees arithm\'etiques de Luminy 17-21 Juillet 1989},
     editor = {Lachaud Gilles},
     series = {Ast\'erisque},
     pages = {153--163},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {198-199-200},
     year = {1991},
     zbl = {0749.11042},
     mrnumber = {1144320},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1991__198-199-200__153_0/}
}
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Heath-Brown, D. R. The Number of Abelian Groups of Order at Most $x$, dans Journées arithmétiques de Luminy 17-21 Juillet 1989, Astérisque, no. 198-199-200 (1991), pp. 153-163. http://archive.numdam.org/item/AST_1991__198-199-200__153_0/

[1] R. Balasubramanian and K. Ramachandra, Some problems of analytic number theory III, Hardy-Ramanujan J., 4 (1981), 13-40. | MR | Zbl

[2] P. Erdös and G. Szekeres, Über die Anzahl Abelscher Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem, Acta Sci. Math. (Szeged), 7 (1935), 95-102. | JFM | Zbl

[3] D. R. Heath-Brown, The twelfth power moment of the Riemann zeta-function, Quart. J. Math. Oxford Ser. (2), 29 (1978), 443-462. | DOI | MR | Zbl

[4] D. R. Heath-Brown, Mean values of the zeta-function and divisor problems, Recent progress in analytic number theory, 115-119, (Academic Press, London, 1981). | MR | Zbl

[5] M. N. Huxley, The distribution of prime numbers, (Oxford, 1972). | MR | Zbl

[6] A. Ivić, The number of finite non-isomorphic Abelian groups in mean square, Hardy-Ramanujan J., 9 (1986), 17-23. | MR | Zbl

[7] A. Ivić, The general divisor problem, J. Number Theory, 26 (1987), 73-91. | DOI | MR | Zbl

[8] G. Kolesnik, On the number of Abelian groups of a given order, J. Reine Angew. Math., 329 (1981), 164-175. | EuDML | MR | Zbl

[9] H. L. Montgomery, Topics in multiplicative number theory, (Springer, Berlin, 1971). | DOI | MR | Zbl

[10] E. C. Titchmarsh, The theory of the Riemann zeta-function, 2nd Edition (Oxford, 1986). | MR | Zbl

[11] W.-P. Zhang, On the divisor problem, Kexue Tongbao, 33 (1988), 1484-1485. | MR | Zbl