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References
P. Erdős, On a lemma of Littlewood and Offord,Bull. Amer. Math. Soc. 51 (1945), 898–902.MR 7-309
G. Katona, On a conjecture of Erdős and a stronger form of Sperner's theorem,Studia Sci. Math. Hungar. 1 (1966), 59–63.MR 34#5690
D. J. Kleitman, On a lemma of Littlewood and Offord on the distribution of certain sums,Math. Z. 90 (1965), 251–259.MR 32#2336
D. Kleitman, On a lemma of Littlewood and Offord on the distributions of linear combinations of vectors,Advances in Math. 5 (1970), 155–157.MR 42#832
A. Sárközi andE. Szemerédi, Über ein Problem von Erdős und Moser,Acta Arith. 11 (1965), 205–208.MR 32#102
W. Hengartner andR. Theodorescu,Concentration functions, Probability and Mathematical Statistics, No. 20, Academic Press, New York-London, 1973, XII+139 pp.MR 48#9781
C. G. Esséen, On the concentration function of a sum of independent random variables,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 9 (1968), 290–308.MR 37#6974
V. V. Sazonov, Multi-dimensional concentration functions,Teor. Verojatnost. i Primenen. 11 (1966), 683–690 (in Russian). English translation:Theor. Probability Appl. 11 (1966), 603–609.MR 35#1062
H. Kesten, A sharper form of the Doeblin-Lévy-Kolmogorov-Rogozin inequality for concentration functions,Math. Scand. 25 (1969), 133–144.MR 41#2742
C. G. Esséen, On the Kolmogorov-Rogozin inequality for the concentration function,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 5 (1966), 210–216.MR 34#5128
G. Halász, On the distribution of additive arithmetic functions,Acta Arith. 27 (1975), 143–152.
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Halász, G. Estimates for the concentration function of combinatorial number theory and probability. Period Math Hung 8, 197–211 (1977). https://doi.org/10.1007/BF02018403
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DOI: https://doi.org/10.1007/BF02018403