Subconvexity for additive equations: pairs of undenary cubic forms

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.

References in corpus (1)

• The Hasse principle for pairs of diagonal cubic forms

Cited by in corpus (1)

• The cubic case of the main conjecture in Vinogradov's mean value theorem