The Turán-Kubilius inequality
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- by P. D. T. A. Elliott
- Proc. Amer. Math. Soc. 65 (1977), 8-10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0447163-7
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Abstract:
The author gives a short proof of the Turán-Kubilius inequality with an improved constant.References
- 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 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.
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- 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