Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Joerg Bruedern; Trevor D. Wooley

doi:10.4171/JEMS/574

Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Joerg Bruedern, Trevor D. Wooley

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	2887-2901
Number of pages	15
Journal	Journal of the European Mathematical Society
Volume	17
Issue number	11
DOIs	https://doi.org/10.4171/JEMS/574
Publication status	Published - 29 Oct 2015

Keywords

math.NT
11D72
11P55
11E76

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10.4171/JEMS/574

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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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AU - Wooley, Trevor D.

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DO - 10.4171/JEMS/574

M3 - Article (Academic Journal)

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JO - Journal of the European Mathematical Society

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Cubic moments of Fourier coefficients and pairs of diagonal quartic forms

Abstract

Keywords

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