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Book Information

Author(s): Richard R. Hall and Gérald Tenenbaum
Title: Divisors
Additional book information: Cambridge Tracts in Mathematics, Vol. 90. Cambridge University Press, Cambridge, New York, New Rochelle, Melbourne, and Sydney, 1988, xvi + 167 pp., $39.50. ISBN 0-521-34056-x

[DDT] J.-M. Deshouillers, F. Dress, and G. Tenenbaum, Loi de répartition des diviseurs. I, Acta Arith. 34 (1979), 273-285. MR 543201

[EK] P. Erdös and M. Kac, The Gaussian law of errors in the theory of additive number-theoretic functions, Amer. J. Math. 62 (1940), 738-742. MR 2374

[E1] P. D. T. A. Elliott, Review of "Intégration et théorie des nombres" by Jean-Loup Mauclaire, Bull. Amer. Math. Soc. (N. S.) 18 (1988), 193-209.

[Er] P. Erdös, On the distribution function of additive functions, Ann. of Math. (2) 47 (1946), 1-20. MR 15424

[Ho] C. Hooley, On a new technique and its applications to the theory of numbers, Proc. London Math. Soc. (3) 38 (1979), 115-151. MR 520975

[HR] G. H. Hardy and S. Ramanujan, The normal number of prime factors of a number n, Quart. J. Math. 48 (1917), 76-92.

[HT1] R. R. Hall and G. Tenenbaum, Sur la proximité des diviseurs, Recent Progress in Analytic Number Theory (H. Halberstam and C. Hooley, eds.), Academic Press, London 1981, vol. 1, pp. 103-113. MR 637344

[HT2] R. R. Hall and G. Tenenbaum, The average orders of Hooley's Δ_r-functions, Compositio Math. 60 (1986), 163-186. MR 868136

[Ma] H. Maier, On the Moebius function, Trans. Amer. Math. Soc. 301 (1987), 649-664. MR 882708

[MT1] H. Maier and G. Tenenbaum, On the set of divisors of an integer, Invent. Math. 76 (1984), 121-128. MR 739628

[MT2] H. Maier and G. Tenenbaum, On the normal concentration of divisors, J. London Math. Soc. (2) 31 (1985), 393-400. MR 812767

[Tel] G. Tenenbaum, Loi de répartition des diviseurs. II, Acta Arith. 38 (1980), 1-36. MR 574122

[Te2] G. Tenenbaum, Sur la concentration moyenne des diviseurs, Comment. Math. Helv. 60 (1985), 411-428. MR 814148

[Va] R. C. Vaughan, On Waring's problem for smaller exponents II, Mathematika 33 (1986), 6-22. MR 859494

Review Information:
Journal: Bull. Amer. Math. Soc. 22 (1990), 159-165.
DOI: 10.1090/S0273-0979-1990-15871-9
PII: S 0273-0979(1990)15871-9

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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