Displaying similar documents to “Diagonal cubic equations. II”

Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Jörg Brüdern, Trevor D. Wooley (2015)

Journal of the European Mathematical Society

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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.