On the monotonicity properties of additive representation functions, II
نویسندگان
چکیده
For a set A of positive integers and any positive integer n, let R1(A, n), R2(A, n) and R3(A, n) denote the number of solutions of a + a = n with the additional restriction a, a ∈ A; a, a ∈ A, a < a and a, a ∈ A, a ≤ a respectively. In this paper, we specially focus on the monotonicity of R3(A, n). Moreover, we show that there does not exist any set A ⊂ N such that R2(A, n) or R3(A, n) is eventually strictly increasing. c © 2008 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Discrete Mathematics
دوره 309 شماره
صفحات -
تاریخ انتشار 2009