Szemerédi's Theorem
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In number theory, Szemerédi''s theorem refers to the proof of the Erd s Turán conjecture. In 1936 Erd s and Turan conjectured for every value d called density 0 N(d,k). This generalizes the statement of van der Waerden''s theorem. The cases k=1 and k=2 are trivial. The case k = 3 was established in 1956 by Klaus Roth by an adaptation of the Hardy-Littlewood circle method. The case k = 4 was established in 1969 by Endre Szemerédi by a combinatorial method. Using an approach similar to the one he used for the case k = 3, Roth gave a second proof for this in 1972.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131243264
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131243264
- Format Fachbuch
- Titel Szemerédi's Theorem
- Herausgeber Betascript Publishing
- Anzahl Seiten 72
- Genre Mathematik
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