On the monotonicity properties of additive representation functions
Volume: 72, Issue: 1, Pages: 129 - 138
Published: Aug 1, 2005
Abstract
If A is a set of positive integers, let R 1 ( n ) be the number of solutions of a + a ′ = n, a . a ′ ∈ A , and let R 2 ( n ) and R 3 ( n ) denote the number of solutions with the additional restrictions a < a ′ , and a ≤ a ′ respectively. The monotonicity properties of the three functions R 1 ( n ), R 2 ( n ), and R 3 ( n ) are studied and...
Paper Details
Title
On the monotonicity properties of additive representation functions
Published Date
Aug 1, 2005
Volume
72
Issue
1
Pages
129 - 138
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