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Some extensions of additive properties of general sequences
Published online by Cambridge University Press: 17 April 2009
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Let A = {a1, a2,…}(a1 < a2 < …) be an infinite sequence of positive integers. Let k ≥ 2 be a fixed integer and denote by Rk(n) the number of solutions of . Erdős, Sárközy and Sós studied the boundness of |R2(n + 1) − R2(n)| and the monotonicity property of R2(n). In this paper, we extend some results to k > 2.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 139 - 146
- Copyright
- Copyright © Australian Mathematical Society 2006
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