Another proof of Nathanson's theorems
Journal of integer sequences, Tome 14 (2011) no. 8
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.
Classification : 11B34, 11D85
Keywords: nathanson's theorems, representation functions, generating functions
@article{JIS_2011__14_8_a0,
     author = {Yang,  Quanhui},
     title = {Another proof of {Nathanson's} theorems},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {8},
     zbl = {1262.11014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_8_a0/}
}
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Yang,  Quanhui. Another proof of Nathanson's theorems. Journal of integer sequences, Tome 14 (2011) no. 8. http://geodesic.mathdoc.fr/item/JIS_2011__14_8_a0/