Document JFM 53.0073.12

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van der Waerden, B. L.

Beweis einer Baudetschen Vermutung. (German) JFM 53.0073.12

Nieuw Archief (2) 15, 212-216 (1927).

Teilt man die ganzen Zahlen \(1, 2, \ldots, N\) in \(k\) Klassen ein, so enthält für jedes \(l\) mindestens eine der Klassen eine arithmetische Progression von \(l\) Gliedern, wenn nur \(N\) oberhalb einer angebbaren, nur von \(k\) und \(l\) abhängenden Schranke liegt. Der Beweis wird rein kombinatorisch geführt.

Reviewer: Brauer, A., Dr. (Berlin)

Cited in 14 Reviews

Cited in 260 Documents

JFM Section:

Zweiter Abschnitt. Arithmetik und Algebra. Kapitel 2. Kombinatorik. Determinanten und Matrizen.

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