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arXiv · 1307.1393

Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Joerg Bruedern·Trevor D. Wooley
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Abstract

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.

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Joerg Bruedern, Trevor D. Wooley. 2013-07-04. Cubic moments of Fourier coefficients and pairs of diagonal quartic forms. https://arxiv.org/abs/1307.1393

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