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arXiv · 1304.5165

The Hasse principle for systems of diagonal cubic forms

Joerg Bruedern·Trevor D. Wooley
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Abstract

We establish the Hasse Principle for systems of r simultaneous diagonal cubic equations whenever the number of variables exceeds 6r and the associated coefficient matrix contains no singular r x r submatrix, thereby achieving the theoretical limit of the circle method for such systems.

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Joerg Bruedern, Trevor D. Wooley. 2013-04-18. The Hasse principle for systems of diagonal cubic forms. https://arxiv.org/abs/1304.5165

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