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On van der Waerden's theorem on arithmetic progressions

โœ Scribed by Walter Deuber

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
194 KB
Volume
32
Category
Article
ISSN
0097-3165

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A set of real numbers a~ < a 2 <... < cl L is called a weakly arithmetic progression of length L, if there exist L consecutive intervals I i = [x i\\_ ~, xl), i = 1 ..... L, of equal length with a~El i. Here we consider conditions from which the existence of weakly arithmetic progressions can (resp.