The Turán-Kubilius inequality
Author:
P. D. T. A. Elliott
Journal:
Proc. Amer. Math. Soc. 65 (1977), 8-10
MSC:
Primary 10K20; Secondary 10H25, 10H30
DOI:
https://doi.org/10.1090/S0002-9939-1977-0447163-7
MathSciNet review:
0447163
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Abstract | References | Similar Articles | Additional Information
Abstract: The author gives a short proof of the Turán-Kubilius inequality with an improved constant.
- G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
- J. Kubilius, On an inequality for additive arithmetic functions, Acta Arith. 27 (1975), 371–383. MR 366859, DOI https://doi.org/10.4064/aa-27-1-371-383
- I. P. Kubilyus, Probabilistic methods in the theory of numbers, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 2(68), 31–66 (Russian). MR 0079025 P. Turán, On a theorem of Hardy and Ramanujan, J. London Math. Soc. 9 (1934), 274-276.
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Article copyright:
© Copyright 1977
American Mathematical Society
