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- W2788244072 abstract "We prove that for pairwise co-prime numbers $k_1,dots,k_d geq 2$ there does not exist any infinite set of positive integers $A$ such that the representation function $r_A (n) = { (a_1, dots, a_d) in A^d : k_1 a_1 + dots + k_d a_d = n }$ becomes constant for $n$ large enough. This result is a particular case of our main theorem, which poses a further step towards answering a question of S'arkozy and S'os and widely extends a previous result of Cilleruelo and Ru'e for bivariate linear forms." @default.
- W2788244072 created "2018-03-06" @default.
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- W2788244072 date "2018-02-21" @default.
- W2788244072 modified "2023-09-27" @default.
- W2788244072 title "On a problem of S'arkozy and S'os for multivariate linear forms" @default.
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