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On Arithmetic Progressions in Sequences

✍ Scribed by Choi, S. L. G.

Book ID
120096040
Publisher
Oxford University Press
Year
1975
Tongue
English
Weight
112 KB
Volume
s2-10
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES

Arithmetic Progressions in Sequences wit
Arithmetic Progressions in Sequences with Bounded Gaps
✍ Tom C Brown; Donovan R Hare πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 528 KB

Let G(k, r) denote the smallest positive integer g such that if 1=a 1 , a 2 , ..., a g is a strictly increasing sequence of integers with bounded gaps a j+1 &a j r, 1 j g&1, then [a 1 , a 2 , ..., a g ] contains a k-term arithmetic progression. It is shown that G(k, 2) > -(k & 1)Γ‚2 ( 43 ) (k&1)Γ‚2 ,