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On a combinatorial method for counting smooth numbers in sets of integers

✍ Scribed by Ernie Croot

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
161 KB
Volume
126
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

A Method to Count the Positive 3-Subsets
A Method to Count the Positive 3-Subsets in a Set of Real Numbers with Non-Negative Sum
✍ Giuseppe Marino; Giampiero Chiaselotti πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 99 KB

Let a 1 , . . . , a n be n real numbers with non-negative sum. We show that if n β‰₯ 12 there exist at least n-1 2 subsets of {a 1 , . . . , a n } with three elements which have non-negative sum.