Maximum subsets of (0,1] with no solutions to x+y = kz
نویسندگان
چکیده
منابع مشابه
Maximum subsets of (0, 1] with no solutions to x+y = kz
If k is a positive real number, we say that a set S of real numbers is k-sum-free if there do not exist x, y, z in S such that x+y = kz. For k greater than or equal to 4 we find the essentially unique measurable k-sum-free subset of (0, 1] of maximum size.
متن کاملMaximum subsets of ( 0 , 1 ] with no solutions to x
If k is a positive integer we say that a set S of real numbers is k-sum-free if there do not exist x, y, x is S such that x + y = kz. For k greater than or equal to 4 we find the essentially unique measurable k-sum-free subset of (0, 1] of maximum size.
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 1995
ISSN: 1077-8926
DOI: 10.37236/1225