Geodesic
Sums of Squares Formulae With Integer Coefficients
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 318-324

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Hidden behind a sums of squares formula are other such formulae not obtainable by restriction. This drastically simplifies the combinatorics involved in the existence problem of sums of squares formulae, and leads to a proof that the product of two sums of 16 squares cannot be rewritten as a sum of 28 squares, if only integer coefficients are permitted. We also construct all [10, 10, 16] formulae.
DOI : 10.4153/CMB-1987-045-6
Mots-clés : Sums of squares formulae, intercalate matrices, stable homotopy classes of spheres, nonsingular bilinear maps, Hopf-Stiefel condition, Primary 11E25, Secondary 55Q45, 05B99 
Yiu, Paul Y. H. Sums of Squares Formulae With Integer Coefficients. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 318-324. doi: 10.4153/CMB-1987-045-6
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     title = {Sums of {Squares} {Formulae} {With} {Integer} {Coefficients}},
     journal = {Canadian mathematical bulletin},
     pages = {318--324},
     year = {1987},
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     number = {3},
     doi = {10.4153/CMB-1987-045-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-045-6/}
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