Geodesic
Primitive recursive bounds for van der Waerden numbers
Journal of the American Mathematical Society, Tome 01 (1988) no. 3, pp. 683-697

Voir la notice de l'article provenant de la source American Mathematical Society

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Shelah, Saharon. Primitive recursive bounds for van der Waerden numbers. Journal of the American Mathematical Society, Tome 01 (1988) no. 3, pp. 683-697. doi: 10.1090/S0894-0347-1988-0929498-X

[1] Ackermann, Wilhelm Zum Hilbertschen Aufbau der reellen Zahlen Math. Ann. 1928 118 133

[2] Berlekamp, E. R. A construction for partitions which avoid long arithmetic progressions Canad. Math. Bull. 1968 409 414

[3] Erdå‘S, P., Rado, R. Combinatorial theorems on classifications of subsets of a given set Proc. London Math. Soc. (3) 1952 417 439

[4] Furstenberg, H. Recurrence in ergodic theory and combinatorial number theory 1981

[5] Graham, R. L., Leeb, K., Rothschild, B. L. Ramsey’s theorem for a class of categories Proc. Nat. Acad. Sci. U.S.A. 1972 119 120

[6] Graham, R. L., Rã¶Dl, V. Numbers in Ramsey theory 1987 111 153

[7] Graham, R. L., Rothschild, B. L. Ramsey’s theorem for 𝑛-parameter sets Trans. Amer. Math. Soc. 1971 257 292

[8] Graham, Ronald L., Rothschild, Bruce L., Spencer, Joel H. Ramsey theory 1980

[9] Hales, A. W., Jewett, R. I. Regularity and positional games Trans. Amer. Math. Soc. 1963 222 229

[10] Ketonen, Jussi, Solovay, Robert Rapidly growing Ramsey functions Ann. of Math. (2) 1981 267 314

[11] Rose, H. E. Subrecursion: functions and hierarchies 1984

[12] Roth, K. F. On certain sets of integers J. London Math. Soc. 1953 104 109

[13] Spencer, Joel H. Ramsey’s theorem for spaces Trans. Amer. Math. Soc. 1979 363 371

[14] Szemerã©Di, E. On sets of integers containing no 𝑘 elements in arithmetic progression Acta Arith. 1975 199 245

[15] Voigt, Bernd The partition problem for finite abelian groups J. Combin. Theory Ser. A 1980 257 271

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