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Lower bounds for renewal sequences andp-functions

โœ Scribed by P. Bloomfield

Publisher
Springer
Year
1971
Tongue
English
Weight
96 KB
Volume
19
Category
Article
ISSN
1432-2064

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We give a non-trivial upper bound for F h รฐg; Nรž, the size of a B h ยฝg subset of f1; . . . ; Ng, when g > 1. In particular, we prove F 2 รฐg; Nรž41:864รฐgNรž 1=2 รพ 1, and F h รฐg; Nรž4 1 รฐ1รพcos h รฐp=hรžรž 1=h รฐhh!gNรž 1=h , h > 2. On the other hand, we exhibit B 2 ยฝg subsets of f1; . . .