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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: The author gives a short proof of the Turán-Kubilius inequality with an improved constant.


References [Enhancements On Off] (What's this?)

  • [1] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Oxford, 1960. MR 0067125 (16:673c)
  • [2] J. Kubilius, On an inequality for additive arithmetic functions, Acta. Arith. 27 (1975), 371-383. MR 0366859 (51:3105)
  • [3] -, Probabilistic methods in the theory of numbers, Uspehi Mat. Nauk 11 (68) (1956), 31-66. MR 0079025 (18:17d)
  • [4] P. Turán, On a theorem of Hardy and Ramanujan, J. London Math. Soc. 9 (1934), 274-276.

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DOI: https://doi.org/10.1090/S0002-9939-1977-0447163-7
Article copyright: © Copyright 1977 American Mathematical Society

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