Author:
Chen Yong-Gao,Sárközy András,Sós Vera T.,Tang Min
Abstract
If A is a set of positive integers, let R1 (n) be the number of solutions of a + a′ = n, a. a′ ∈ A, and let R2(n) and R3(n) denote the number of solutions with the additional restrictions a < a′, and a ≤ a′ respectively. The monotonicity properties of the three functions R1(n), R2(n), and R3(n) are studied and compared.
Publisher
Cambridge University Press (CUP)
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. ON A PROBLEM ABOUT ADDITIVE REPRESENTATION FUNCTIONS;Bulletin of the Australian Mathematical Society;2022-02-08
2. A note on the lower bound of representation functions;International Journal of Number Theory;2021-07-30
3. On the values of representation functions II;Journal of Number Theory;2021-01
4. On the values of representation functions;Acta Mathematica Hungarica;2019-10-10
5. On additive representation functions;International Journal of Number Theory;2015-04-29