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- W4295364172 abstract "We study the number $nu(n)$ of representations of a positive integer $n$ by the form $x^3+y^3+z^3-3xyz$ in the conditions $0leq xleq yleq z; zgeq x+1.$ We proved the following results: (i) for every positive $n,$ except for $nequivpm3 pmod9,$ $nu(n)>=1;$ (ii) for the exceptional $n,$ $nu(n)=0;$ (iii) for every prime $pneq3,$ $nu(p)=nu(2p)=1;$ (iv) $limsup (nu(n))=infty;$ (v) for every positive $n,$ there exists $k$ such that $nu(k)=n.$" @default.
- W4295364172 created "2022-09-13" @default.
- W4295364172 creator A5041909740 @default.
- W4295364172 date "2015-08-24" @default.
- W4295364172 modified "2023-10-17" @default.
- W4295364172 title "Representation of positive integers by the form $x^3+y^3+z^3-3xyz$" @default.
- W4295364172 doi "https://doi.org/10.48550/arxiv.1508.05748" @default.
- W4295364172 hasPublicationYear "2015" @default.
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