Geodesic
Atkin's Theorem on Pseudo-squares
Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 21 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We give an elementary proof of a theorem of A.O.L. Atkin on psuedo-squares. As pointed out by Atkin, from this theorem it immediately follows that there exists an infinite sequence of positive integers, whose $j$~th term $s(j)$ satisfies $s(j)=j^2 + O(\log(j))$, such that the set of integers representable as a sum of two distinct terms of this sequence is of positive asymptotic density.
Classification : 11B13 
@article{PIM_1998_N_S_63_77_a2,
     author = {R. Balasubramanian and D.S. Ramana},
     title = {Atkin's {Theorem} on {Pseudo-squares}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {21 },
     year = {1998},
     volume = {_N_S_63},
     number = {77},
     zbl = {0945.11007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a2/}
}
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R. Balasubramanian; D.S. Ramana. Atkin's Theorem on Pseudo-squares. Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 21 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a2/