Geodesic
Cubic moments of Fourier coefficients and pairs of diagonal quartic forms
Journal of the European Mathematical Society, Tome 17 (2015) no. 11, pp. 2887-2901.

Voir la notice de l'article provenant de la source EMS Press

We establish the non-singular Hasse principle for pairs of diagonal quartic equations in 22 or more variables. Our methods involve the estimation of a certain entangled two-dimensional 21st moment of quartic smooth Weyl sums via a novel cubic moment of Fourier coefficients.
DOI : 10.4171/jems/574
Classification : 11-XX
Keywords: Quartic Diophantine equations, Hardy–Littlewood method 
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     author = {J\"org Br\"udern and Trevor D. Wooley},
     title = {Cubic moments of {Fourier} coefficients and pairs of diagonal quartic forms},
     journal = {Journal of the European Mathematical Society},
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     publisher = {mathdoc},
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     doi = {10.4171/jems/574},
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Jörg Brüdern; Trevor D. Wooley. Cubic moments of Fourier coefficients and pairs of diagonal quartic forms. Journal of the European Mathematical Society, Tome 17 (2015) no. 11, pp. 2887-2901. doi : 10.4171/jems/574. http://geodesic.mathdoc.fr/articles/10.4171/jems/574/

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