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Finite sums from sequences within cells of a partition of N. (English) Zbl 0285.05012


MSC:

05A17 Combinatorial aspects of partitions of integers
11P81 Elementary theory of partitions
05A05 Permutations, words, matrices
Full Text: DOI

References:

[1] P. Erdös; P. Erdös
[2] Graham, R. L.; Rothschild, B. L., Ramsey’s theorem for \(n\)-parameter sets, Trans. Amer. Math. Soc., 159, 257-292 (1971) · Zbl 0233.05003
[3] Hindman, N., The existence of certain ultrafilters on \(N\) and a conjecture of Graham and Rothschild, (Proc. Amer. Math. Soc., 36 (1972)), 341-346 · Zbl 0225.10056
[4] Rado, R., Some partition theorems, (Colloq. Math. Soc. János Bolyai. Colloq. Math. Soc. János Bolyai, Combinatorial Theory and Its Applications, Vol. III (1970), North-Holland: North-Holland Amsterdam), 4 · Zbl 0216.29804
[5] Sanders, J., A Generalization of a Theorem of Schur, (Doctoral dissertation (1968), Yale University: Yale University New Haven)
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