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


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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