On a problem of Cilleruelo and Nathanson |
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| Authors: | Yong-Gao Chen Jin-Hui Fang |
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| Institution: | 1. School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing, 210046, P. R. China
2. Department of Mathematics, Nanjing University of Information Science & Technology, Nanjing, 210044, P. R. China
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| Abstract: | Let ℤ denote the set of all integers and ℕ the set of all positive integers. Let A be a set of integers. For every integer u, we denote by d
A
(u) and s
A
(u) the number of solutions of u=a − a′ with a,a′ ∈ A and u=a+a′ with a,a′ ∈ A and a≤a′, respectively. |
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| Keywords: | |
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