Non-trivial solutions to a linear equation in integers
نویسندگان
چکیده
منابع مشابه
Non-trivial solutions to a linear equation in integers
For k ≥ 3 let A ⊂ [1, N ] be a set not containing a solution to a1x1 + · · · + akxk = a1xk+1 + · · · + akx2k in distinct integers. We prove that there is an ε > 0 depending on the coefficients of the equation such that every such A has O(N) elements. This answers a question of I. Ruzsa. Introduction The problems of estimating the size of a largest subset of [1, N ] not containing a solution to ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2008
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa131-1-4