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Some extensions of additive properties of general sequences

Published online by Cambridge University Press:  17 April 2009

Min Tang
Min Tang
Affiliation:
Department of Mathematics, Anhui Normal University, Wuhu 241000, China Department of Mathematics, Nanjing Normal University, Nanjing 210097, China, e-mail: tmzzz2000@yahoo.com
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 139 - 146
Copyright
Copyright © Australian Mathematical Society 2006

References

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