Journal of Integer Sequences, Vol. 14 (2011), Article 11.8.4

Another Proof of Nathanson's Theorems


Quan-Hui Yang
School of Mathematical Sciences
Nanjing Normal University
Nanjing 210046
P. R. China

Abstract:

In this paper, without using generating functions, we give new combinatorial proofs of several theorems by Nathanson on the representation functions, and we also obtain generalizations of these theorems.


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Received March 13 2011; revised version received August 13 2011. Published in Journal of Integer Sequences, September 25 2011.


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