Maximal Collections of Intersecting
Arithmetic Progressions |
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Authors: | Kevin?Ford |
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Institution: | (1) University of South Carolina, Columbia, SC, USA |
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Abstract: | Let N
t
(k) be the maximum number of
k-term arithmetic
progressions of real numbers, any two of which have
t points in common. We
determine N
2(k) for prime k and all large k, and give upper and lower bounds for
N
t
(k) when t 3.* Research supported in part by NSF grant
DMS-0070618. |
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Keywords: | 05D05 11B75 11B25 11A05 11N05 11N37 |
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