NDLI: Arithmetic progressions in finite sets of real numbers

Content Provider	Scilit
Author	Klotz, W.
Copyright Year	1973
Description	In this paper we investigate the structure of a set of n reals that contains a maximal number of l-term arithmetic progressions. This problem has been indicated by J. Riddell. Let l and n be positive integers with 2 ≦ l ≦ n. By $F_{1}$(n) we denote the maximal number of l-term arithmetic progressions that a set of n reals can contain. A set of n reals containing $F_{1}$(n)l-progressions will be called an $F_{l}$,(n)-set.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/03A1DA0ABCBD06E4D8C5C940614141B3/S0017089500001828a.pdf/div-class-title-arithmetic-progressions-in-finite-sets-of-real-numbers-div.pdf
Ending Page	104
Page Count	4
Starting Page	101
ISSN	00170895
e-ISSN	1469509X
DOI	10.1017/s0017089500001828
Journal	Glasgow Mathematical Journal
Issue Number	2
Volume Number	14
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1973-09-01
Access Restriction	Open
Subject Keyword	Glasgow Mathematical Journal Hardware and Architecture Arithmetic Progressions Finite Sets Real Numbers Positive Integers Containing F1
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Arithmetic progressions in finite sets of real numbers