Geodesic
ON A DIAGONAL QUADRIC IN DENSE VARIABLES
Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 601-628

Voir la notice de l'article provenant de la source Cambridge University Press

We examine the solubility of a diagonal, translation invariant, quadratic equation system in arbitrary (dense) subsets $\mathcal{A}$ ⊂ Z and show quantitative bounds on the size of $\mathcal{A}$ if there are no non-trivial solutions. We use the circle method and Roth's density increment argument. Due to a restriction theory approach we can deal with equations in s ≥ 7 variables.
DOI : 10.1017/S0017089514000056
Mots-clés : Primary 11B30, Secondary 11P55, 11D09, 11L07 
KEIL, EUGEN. ON A DIAGONAL QUADRIC IN DENSE VARIABLES. Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 601-628. doi: 10.1017/S0017089514000056
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