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 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2015_17_11_a5,
     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},
     pages = {2887--2901},
     year = {2015},
     volume = {17},
     number = {11},
     doi = {10.4171/jems/574},
     url = {http://geodesic.mathdoc.fr/articles/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

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