Subconvexity for additive equations: pairs of undenary cubic forms

Published 10 Aug 2012 in math.NT | (1208.2176v1)

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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