Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

On the distribution of sums of residues

Author(s): Jerrold R. Griggs
Journal: Bull. Amer. Math. Soc. 28 (1993), 329-333.
MSC (1991): Primary 11P83; Secondary 11A07, 05A05, 06A07
MathSciNet review: 1183998
Retrieve article in: PDF

References | Similar articles | Additional information

References:

[1]
I. Anderson, Combinatorics of finite sets, Clarendon Press, Oxford, 1987. MR 892525
[2]
N. G. de Bruijn, C. A. van Ebbenhorst Tengbergen, and D. R. Kruyswijk, On the set of divisors of a number, Nieuw Arch. Wisk. (2) \textbf{23} (1952), 191--193. MR 43115
[3]
P. Erd\" os, On a lemma of Littlewood and Offord, Bull. Amer. Math. Soc. \textbf{51} (1945), 898--902. MR 14608
[4]
P. Frankl and Z. F\"uredi, The Littlewood-Offord problem in higher dimensions, Ann. of Math. (2) \textbf{128} (1988), 259--270. MR 960947
[5]
C. Greene and D. J. Kleitman, \emph{Proof techniques in the theory of finite sets} (G.-C. Rota, ed.), Math. Assn. America, Philadelphia, PA, 1978 pp.~22--79. MR 513002
[6]
J. R. Griggs, The Littlewood-Offord problem\RM : Tightest packing and an $M$-part Sperner theorem, European J. Combin. \textbf{1} (1980), 225--234. MR 593993
[7]
J. R. Griggs, Saturated chains of subsets and a random walk, J. Combin. Theory Ser. A \textbf{47} (1988), 262--283. MR 930956
[8]
G. O. H. Katona, On a conjecture of Erd\" os and a stronger form of Sperner\RM 's theorem, Studia Sci. Math. Hungar. \textbf{1} (1966), 59--63. MR 205864
[9]
G. O. H. Katona, Families of subsets having no subset containing another with small difference, Nieuw Arch. Wisk. (3) \textbf{20} (1972), 54--67. MR 304182
[10]
D. J. Kleitman, On a lemma of Littlewood and Offord on the distribution of certain sums, Math. Z. \textbf{90} (1965), 251--259. MR 184865
[11]
D. J. Kleitman, On a lemma of Littlewood and Offord on the distributions of linear combinations of vectors, Adv. in Math. \textbf{5} (1970), 1--3. MR 265923
[12]
D. J. Kleitman, Some new results on the Littlewood-Offord problem, J. Combin. Theory Ser. A \textbf{20} (1976), 89--113. MR 392592
[13]
J. E. Littlewood and A. C. Offord, On the number of real roots of a random algebraic equation, Mat. Sb. \textbf{12} (1943), 277--286. MR 9656
[14]
E. Sperner, Ein Satz \"uber Untermengen einer endlichen Menge, Math. Z. \textbf{27} (1929), 544--548. MR
[15]
R. C. Vaughan and T. D. Wooley, On a problem related to one of Littlewood and Offord, Quart. J. Math. Oxford (2) \textbf{42} (1991), 379--386. MR 1120998

Similar Articles:

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1991): 11P83, 11A07, 05A05, 06A07

Retrieve articles in all Journals with MSC (1991): 11P83, 11A07, 05A05, 06A07


Additional Information:

DOI: 10.1090/S0273-0979-1993-00382-3
PII: S 0273-0979(1993)00382-3