On the monotonicity properties of additive representation functions

Yong Gao Chen, A. Sárközy, Vera T. Sós, Min Tang

Research output: Contribution to journalArticle

8 Citations (Scopus)

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. Copyright Clearance Centre, Inc.

Original languageEnglish
Pages (from-to)129-138
Number of pages10
JournalBulletin of the Australian Mathematical Society
Volume72
Issue number1
Publication statusPublished - Aug 2005

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Cite this

On the monotonicity properties of additive representation functions. / Chen, Yong Gao; Sárközy, A.; Sós, Vera T.; Tang, Min.

In: Bulletin of the Australian Mathematical Society, Vol. 72, No. 1, 08.2005, p. 129-138.

Research output: Contribution to journalArticle

Chen, Yong Gao ; Sárközy, A. ; Sós, Vera T. ; Tang, Min. / On the monotonicity properties of additive representation functions. In: Bulletin of the Australian Mathematical Society. 2005 ; Vol. 72, No. 1. pp. 129-138.
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