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 หัวเรื่อง:ไม่มีชื่อไทย (ชื่ออังกฤษ : On Sum-Free Arithmetic Sequences) ผู้เขียน: ดร.จิตรลดา สมทรัพย์, ผู้ช่วยศาสตราจารย์ สื่อสิ่งพิมพ์:pdf AbstractAn arithmetic sequence of integers is said to be sum-free if no integer of the sequence is the sum of distinct integers of this sequence. This paper investigated whetherA={a,a+d,a+2d,...}, where a and d are positive integers, is sum-free, and then showed that there exists a sum-free subset B of A such that 1 2 B? A. Moreover, it was also shown that if A = {a, 2a, ,T(n)a}, where a is a positive integer, then 3 1 ( ) 2 n ? ? T n ?[n!e]?1, where T(n) is the largest positive integer such that A can be partitioned into n sum-free subsets. |
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