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arXiv · 1208.2176

Subconvexity for additive equations: pairs of undenary cubic forms

Joerg Bruedern·Trevor D. Wooley
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Abstract

We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as large as the expected order of magnitude.

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Joerg Bruedern, Trevor D. Wooley. 2012-08-10. Subconvexity for additive equations: pairs of undenary cubic forms. https://arxiv.org/abs/1208.2176

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